Edit Profile Helffer, Bernard Compute Distance To: Compute Author ID: helffer.bernard Published as: Helffer, B.; Helffer, Bernard External Links: MGP · Wikidata · GND Documents Indexed: 299 Publications since 1972, including 9 Books Reviewing Activity: 188 Reviews all top 5 Co-Authors 68 single-authored 28 Sjöstrand, Johannes 18 Hoffmann-Ostenhof, Thomas 16 Bolley, Catherine 16 Robert, Didier 14 Nourrigat, Jean Francois 11 Bérard, Pierre H. 11 Fournais, Søren 11 Kordyukov, Yuri A. 10 Almog, Yaniv 8 Siedentop, Heinz Karl Heinrich 7 Kachmar, Ayman 7 Pan, Xingbin 7 Sundqvist, Mikael Persson 6 Morame, Abderemane 5 Bolley, Pierre 5 Bonnaillie-Noël, Virginie 5 Camus, Jacques 4 Barbaroux, Jean-Marie 4 Cornean, Horia D. 4 Grebenkov, Denis S. 4 Nier, Francis 4 Purice, Radu 3 Derridj, Makhlouf 3 Hoffmann-Ostenhof, Maria 3 Terracini, Susanna 3 Zuily, Claude 2 Bach, Volker 2 Belaud, Yves 2 Bodineau, Thierry 2 Dauge, Monique 2 Gittins, Katie 2 Henry, Raphaël 2 Kerdelhué, Philippe 2 Lafitte, Olivier D. 2 Martinez, André 2 Nadirashvili, Nikolai S. 2 Nourrigat, F. 2 Pankrashkin, Konstantin 2 Ramond, Thierry 2 Raymond, Nicolas 2 Rodino, Luigi 2 Véron, Laurent 2 Wang, Xue Ping 1 Aftalion, Amandine 1 Ancona, Alano 1 Balslev, Erik 1 Beauchard, Karine 1 Boutet de Monvel, Louis 1 Chanillo, Sagun 1 Charron, Philippe 1 Connes, Alain 1 Corwin, Lawrence J. 1 Damlakhi, Moustafa K. 1 Dutour-Sikiric, Mathieu 1 El Houakmi, Z. 1 Farkas, Walter 1 Foucher, Françoise 1 Frank, Rupert L. 1 Grigis, Alain 1 Haslinger, Friedrich 1 Ignat, Radu 1 Kannai, Yakar 1 Kerdelhué, Phillippe 1 Kiwan, Rola 1 Klein, Markus 1 Knauf, Andreas 1 Kovařík, Hynek 1 Laleg-Kirati, Taous-Meriem 1 Laptev, Ari 1 Liu, Qinghui 1 Mattera, Claude 1 Owen, Mark P. 1 Owen, Markus Roger 1 Parisse, Bernard 1 Pham the Lai 1 Qu, Yanhui 1 Robbiano, Luc 1 Rothschild, Linda Preiss 1 Royo-Letelier, Jimena 1 Vial, Grégory 1 Vũ Ngọc, San 1 Weikard, Rudi 1 Weissler, Fred B. 1 Zhou, Qi all top 5 Serials 13 Communications in Mathematical Physics 12 Journal of Functional Analysis 11 Communications in Partial Differential Equations 8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 7 Annales de l’Institut Fourier 7 Mémoires de la Société Mathématique de France. Nouvelle Série 7 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Asymptotic Analysis 5 Letters in Mathematical Physics 5 Reviews in Mathematical Physics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Gazette des Mathématiciens 4 Journal of Differential Equations 4 Transactions of the American Mathematical Society 4 SIAM Journal on Mathematical Analysis 4 Séminaire Équations aux Dérivées Partielles 4 Moscow Mathematical Journal 4 Journal of Spectral Theory 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Physics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 European Journal of Applied Mathematics 3 Documenta Mathematica 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Annales Mathématiques du Québec 2 Helvetica Physica Acta 2 American Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Duke Mathematical Journal 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Nonlinear Studies 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Lecture Notes in Mathematics 2 Journal of Physics A: Mathematical and Theoretical 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico 1 Advances in Applied Mathematics 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Cahiers Mathématiques 1 Algebra i Analiz 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Advances in Mathematical Sciences and Applications 1 Experimental Mathematics 1 Journal of the Egyptian Mathematical Society 1 Mathematical Physics Electronic Journal 1 Discrete and Continuous Dynamical Systems 1 Matemática Contemporânea 1 Functional Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Portugaliae Mathematica. Nova Série 1 Milan Journal of Mathematics 1 Cubo 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Bulletin of the American Mathematical Society 1 Astérisque 1 Cambridge Studies in Advanced Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Progress in Mathematics 1 SMF Journée Annuelle 1 Analysis & PDE 1 Confluentes Mathematici 1 Annals of the University of Bucharest. Mathematical Series 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 251 Partial differential equations (35-XX) 84 Quantum theory (81-XX) 57 Statistical mechanics, structure of matter (82-XX) 48 Operator theory (47-XX) 48 Global analysis, analysis on manifolds (58-XX) 27 Ordinary differential equations (34-XX) 12 Numerical analysis (65-XX) 11 Topological groups, Lie groups (22-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Optics, electromagnetic theory (78-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 256 Publications have been cited 3,263 times in 1,659 Documents Cited by ▼ Year ▼ Multiple wells in the semi-classical limit. I. Zbl 0546.35053Helffer, B.; Sjöstrand, J. 209 1984 Semi-classical analysis for the Schrödinger operator and applications. Zbl 0647.35002Helffer, Bernard 109 1988 Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006Helffer, Bernard; Nier, Francis 97 2005 Spectral methods in surface superconductivity. Zbl 1256.35001Fournais, Søren; Helffer, Bernard 94 2010 Equation de Schrödinger avec champ magnétique et équation de Harper. (The Schrödinger equation with magnetic field and the Harper equation). Zbl 0699.35189Helffer, B.; Sjöstrand, J. 94 1989 Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles. Zbl 0524.35103Helffer, B.; Robert, D. 89 1983 Résonances en limite semi-classique. (Resonances in semi-classical limit). Zbl 0631.35075Helffer, B.; Sjöstrand, J. 76 1986 Magnetic bottles in connection with superconductivity. Zbl 1078.81023Helffer, Bernard; Morame, Abderemane 70 2001 Caractérisation des opérateurs hypoelliptiques homogenes invariants à gauche sur un groupe de Lie nilpotent gradue. Zbl 0423.35040Helffer, B.; Nourrigat, J. 64 1979 Théorie spectrale pour des opérateurs globalement elliptiques. Zbl 0541.35002Helffer, Bernard 59 1984 Nodal domains and spectral minimal partitions. Zbl 1171.35083Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S. 56 2009 Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039Helffer, B.; Martinez, A.; Robert, D. 56 1987 Puits multiples en mécanique semi-classique. IV: Étude du complexe de Witten. (Multiple wells in semi-classical limit. IV: Investigation of the Witten complex). Zbl 0597.35024Helffer, B.; Sjöstrand, J. 56 1985 Puits multiples en limite semi-classique. II: Interaction moléculaire. Symétries. Perturbation. (Multiple wells in the semi-classical limit. II: Molecular interaction. Symmetry. Perturbation). Zbl 0595.35031Helffer, B.; Sjöstrand, J. 50 1985 Analyse semi-classique pour l’équation de Harper (avec application à l’équation de Schrödinger avec champ magnétique). (Semiclassical analysis for the Harper equation (with application to the magnetic Schrödinger equation)). Zbl 0714.34130Helffer, B.; Sjöstrand, J. 49 1988 Eigenvalues variation. I: Neumann problem for Sturm–Liouville operators. Zbl 0784.34021Dauge, Monique; Helffer, Bernard 48 1993 Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. (Maximal hypoellipticity for polynomial operators of vector fields). Zbl 0568.35003Helffer, Bernard; Nourrigat, Jean 47 1985 On the correlation for Kac-like models in the convex case. Zbl 0946.35508Helffer, Bernard; Sjöstrand, Johannes 44 1994 Semi-classical analysis for Harper’s equation. III: Cantor structure of the spectrum. Zbl 0725.34099Helffer, B.; Sjöstrand, J. 44 1989 Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells. Zbl 0851.58046Helffer, Bernard; Mohamed, Arbderemane 41 1996 Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques. Zbl 0451.35022Robert, D.; Helffer, B. 39 1981 Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains. Zbl 1042.81012Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Owen, M. P. 38 1999 Propriétés asymptotiques du spectre d’opérateurs pseudodifferentiels sur \(R^ n\). Zbl 0501.35081Helffer, Bernard; Robert, Didier 38 1982 Caractérisation du spectre essentiel de l’opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field). Zbl 0638.47047Helffer, B.; Mohamed, A. 36 1988 Spectral theory and its applications. Zbl 1279.47002Helffer, Bernard 34 2013 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025Helffer, Bernard; Klein, Markus; Nier, Francis 33 2004 Semiclassical analysis, Witten Laplacians, and statistical mechanics. Zbl 1046.82001Helffer, Bernard 31 2002 Asymptotic of the density of states for the Schrödinger operator with periodic electric potential. Zbl 0951.35104Helffer, Bernard; Mohamed, Abderemane 31 1998 Multiple wells in the semi-classical limit. III: Interaction through non- resonant wells. Zbl 0597.35023Helffer, B.; Sjöstrand, J. 30 1985 Puits de potentiel généralisés et asymptotique semi-classique. (Generalized potential wells and semiclassical asymptotic). Zbl 0565.35082Helffer, B.; Robert, D. 29 1984 Upper critical field and location of surface nucleation of superconductivity. Zbl 1060.35132Helffer, Bernard; Pan, Xing-Bin 28 2003 Analyse semi-classique pour l’équation de Harper. II: Comportement semi-classique près d’un rationnel. (Semiclassical analysis for the Harper equation. II. Semiclassical behaviour near a rational number). Zbl 0714.34131Helffer, B.; Sjöstrand, J. 28 1990 Paramètrixes d’opérateurs pseudodifferentiels à caractéristiques multiples. Zbl 0344.32009Boutet de Monvel, Louis; Grigis, Alain; Helffer, Bernard 28 1976 Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian. Zbl 1097.47020Fournais, Søren; Helffer, Bernard 27 2006 On diamagnetism and de Haas-van Alphen effect. Zbl 0715.35070Helffer, B.; Sjöstrand, J. 26 1990 Conditions necessaires d’hypoanalyticite pour des opérateurs invariants à gauche homogenes sur un groupe nilpotent gradue. Zbl 0458.35019Helffer, Bernard 26 1982 On spectral minimal partitions: the case of the sphere. Zbl 1230.35072Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 25 2010 Limiting absorption principle and resonances for the Dirac operator. Zbl 0756.35062Balslev, E.; Helffer, B. 25 1992 On the third critical field in Ginzburg-Landau theory. Zbl 1107.58009Fournais, S.; Helffer, B. 23 2006 The log-Sobolev inequality for unbounded spin systems. Zbl 0972.82035Bodineau, T.; Helffer, B. 22 1999 On the stability of the relativistic electron-positron field. Zbl 1024.81056Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz 21 1999 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018Nier, F.; Helffer, B. 20 2006 Effet tunnel pour l’équation de Schrödinger avec champ magnétique. (Tunnel effect for the Schrödinger equation with a magnetic field). Zbl 0699.35205Helffer, B.; Sjöstrand, J. 20 1987 Asymptotique des niveaux d’energie pour des Hamiltoniens à un degré de liberte. Zbl 0519.35063Helffer, B.; Robert, D. 20 1982 On spectral minimal partitions: a survey. Zbl 1225.35158Helffer, B. 19 2010 Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces. Zbl 1144.32023Haslinger, Friedrich; Helffer, Bernard 19 2007 Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case). Zbl 1057.35061Helffer, Bernard; Morame, Abderemane 18 2004 Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215Helffer, Bernard; Kachmar, Ayman 17 2017 Degenerate parabolic operators of Kolmogorov type with a geometric control condition. Zbl 1311.93042Beauchard, Karine; Helffer, Bernard; Henry, Raphael; Robbiano, Luc 17 2015 An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material. Zbl 0779.35104Bolley, C.; Helffer, B. 17 1993 Effet d’Aharonov-Bohm sur un état borné de l’équation de Schrödinger. (Aharonov-Bohm effect for a bounded state of the Schrödinger equation). Zbl 0702.35186Helffer, B. 17 1988 Hypoellipticite pour des groupes nilpotents de rang de nilpotence 3. Zbl 0385.35015Helffer, B.; Nourrigat, F. 17 1978 Invariants associés à une classe d’opérateurs pseudodifférentiels et applications à l’hypoellipticité. Zbl 0301.35026Helffer, Bernard 16 1976 Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T. 15 2009 Sur le spectre de l’équation de Dirac (dans \({\mathbb{R}}^ 2\) ou \({\mathbb{R}}^ 3)\) avec champ magnétique. (On the spectrum of the Dirac equation (in \({\mathbb{R}}^ 2\) or \({\mathbb{R}}^ 3)\) with magnetic field). Zbl 0703.35127Helffer, B.; Nourrigat, J.; Wang, X. P. 15 1989 On mathematical models for Bose-Einstein condensates in optical lattices. Zbl 1171.82304Aftalion, Amandine; Helffer, Bernard 14 2009 Magnetic bottles for the Neumann problem: the case of dimension 3. Zbl 1199.81016Helffer, Bernard; Morame, Abderemane 14 2002 Tunneling between corners for Robin Laplacians. Zbl 1319.35129Helffer, Bernard; Pankrashkin, Konstantin 13 2015 Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square with application to minimal partitions. Zbl 1270.35025Bonnaillie-Noël, V.; Helffer, B. 13 2011 Numerical simulations for nodal domains and spectral minimal partitions. Zbl 1191.35189Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory 13 2010 The distribution of surface superconductivity along the boundary: on a conjecture of X. B. Pan. Zbl 1136.82042Almog, Yaniv; Helffer, Bernard 13 2007 Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems. Zbl 1161.82306Bodineau, T.; Helffer, B. 13 2000 Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom. Zbl 1184.35233Helffer, B.; Kordyukov, Y. A. 12 2009 Remarks on decay of correlations and Witten Laplacians. III: Application to logarithmic Sobolev inequalities. Zbl 1055.82004Helffer, Bernard 12 1999 Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit. Zbl 0921.35141Helffer, Bernard 12 1998 Rigorous results for the Ginzburg-Landau equations associated to a superconducting film in the weak \(\kappa\) limit. Zbl 0864.35097Bolley, Catherine; Helffer, Bernard 12 1996 On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259Helffer, Bernard; Hoffmann-Ostenhof, Thomas 11 2013 Strong diamagnetism for general domains and application. Zbl 1133.35073Fournais, Soeren; Helffer, Bernard 11 2007 Energy asymptotics for type II superconductors. Zbl 1160.82365Fournais, S.; Helffer, B. 11 2005 Nonlinear eigenvalues and analytic hypoellipticity. Zbl 1053.35045Chanillo, Sagun; Helffer, Bernard; Laptev, Ari 11 2004 Riesz means of bound states and semiclassical limit connected with a Lieb-Thirring’s conjecture. Zbl 0717.35062Helffer, B.; Robert, D. 11 1990 Étude du spectre pour un opérateur globalement elliptique dont le symbole de Weyl présente des symétries. II: Action des groupes de Lie compacts. (Spectral study for a globally elliptic operator the Weyl symbol of which presents symmetries. II: Actions of compact Lie groups). Zbl 0605.58042Helffer, B.; Robert, D. 11 1986 The complex Airy operator on the line with a semipermeable barrier. Zbl 1430.47001Grebenkov, Denis S.; Helffer, Bernard; Henry, Raphael 10 2017 Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. Zbl 1390.35209Bérard, Pierre; Helffer, Bernard 10 2015 On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent. Zbl 1332.35241Almog, Yaniv; Helffer, Bernard 10 2015 The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330Helffer, Bernard; Kachmar, Ayman 10 2015 On the Ginzburg-Landau critical field in three dimensions. Zbl 1159.35301Fournais, S.; Helffer, B. 10 2009 Long-time vanishing properties of solutions of some semilinear parabolic equations. Zbl 0983.35066Belaud, Yves; Helffer, Bernard; Véron, Laurent 10 2001 Splitting in large dimension and infrared estimates. II: Moment inequalities. Zbl 0920.35124Helffer, B. 10 1998 On spectral theory for Schrödinger operators with magnetic potentials. Zbl 0816.35100Helffer, Bernard 10 1994 Sur l’hypoellipticité des opérateurs pseudodifférentiels à caractéristiques multiples (perte de 3/2 derivées). Zbl 0374.35012Helffer, Bernard 10 1977 Sur une classe d’opérateurs partiellement hypoelliptiques. Zbl 0294.35021Bolley, P.; Camus, J.; Helffer, B. 10 1976 Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas 9 2017 A review on large \(k\) minimal spectral \(k\)-partitions and Pleijel’s theorem. Zbl 1346.35132Helffer, B.; Hoffmann-Ostenhof, T. 9 2015 Nodal domains in the square – the Neumann case. Zbl 1342.35198Helffer, Bernard; Sundqvist, Mikael Persson 9 2015 On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current. Zbl 1223.82070Helffer, B. 9 2011 The Montgomery model revisited. Zbl 1207.34110Helffer, B. 9 2010 On the Hartree-Fock equations of the electron-positron field. Zbl 1087.81055Barbaroux, Jean-Marie; Farkas, Walter; Helffer, Bernard; Siedentop, Heinz 9 2005 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051Helffer, Bernard; Weissler, Fred B. 9 1998 Eigenvalues variation. II: Multidimensional problems. Zbl 0807.34033Dauge, Monique; Helffer, Bernard 9 1993 On spectral properties of the Bloch-Torrey operator in two dimensions. Zbl 1387.35427Grebenkov, Denis S.; Helffer, Bernard 8 2018 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. Zbl 1267.82139Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 8 2013 Superconductivity between \(H_{C_2}\) and \(H_{C_3}\). Zbl 1225.34097Fournais, Søren; Helffer, Bernard; Persson, Mikael 8 2011 Superconductivity near the normal state under the action of electric currents and induced magnetic fields in \(\mathbb R^2\). Zbl 1201.35179Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 8 2010 Proof of the De Gennes formula for the superheating field in the weak \(\kappa\) limit. Zbl 0889.34010Bolley, Catherine; Helffer, Bernard 8 1997 Rigorous results on Ginzburg-Landau models in a film submitted to an exterior parallel magnetic field. I. Zbl 0857.34006Bolley, C.; Helffer, B. 8 1996 Around the transfer operator and the Trotter-Kato formula. Zbl 0835.47050Helffer, B. 8 1995 Puits multiples en mécanique semi-classique. V: Étude des minipuits. (Multiple wells in semi-classical mechanics. V: Study of miniwells). Zbl 0628.35024Helffer, B.; Sjöstrand, J. 8 1986 Étude du spectre pour un opérateur globalement elliptique dont le symbole de Weyl présente des symétries. I: Action des groupes finis. (Study of the spectrum of a global elliptic operator whose Weyl symbol shows symmetries. I: Action of finite groups). Zbl 0583.58029Helffer, Bernard; Robert, Didier 8 1984 Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. Zbl 0549.35026Helffer, B.; Nourrigat, J. 8 1983 Sturm’s theorem on zeros of linear combinations of eigenfunctions. Zbl 1443.34026Bérard, Pierre; Helffer, Bernard 3 2020 Sturm’s theorem on the zeros of sums of eigenfunctions: Gelfand’s strategy implemented. Zbl 07206632Bérard, Pierre; Helffer, Bernard 1 2020 Courant-sharp Robin eigenvalues for the square and other planar domains. Zbl 1444.35118Gittins, Katie; Helffer, Bernard 1 2019 Inequalities for the lowest magnetic Neumann eigenvalue. Zbl 1415.35213Fournais, S.; Helffer, B. 1 2019 On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator. III: Magnetic fields that change sign. Zbl 1415.35214Helffer, Bernard; Kovařík, Hynek; Sundqvist, Mikael P. 1 2019 On spectral properties of the Bloch-Torrey operator in two dimensions. Zbl 1387.35427Grebenkov, Denis S.; Helffer, Bernard 8 2018 The density of superconductivity in domains with corners. Zbl 1454.35362Helffer, Bernard; Kachmar, Ayman 4 2018 Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains. Zbl 1386.81075Almog, Y.; Grebenkov, D. S.; Helffer, B. 4 2018 On Courant’s nodal domain property for linear combinations of eigenfunctions. I. Zbl 1403.35192Bérard, Pierre H.; Helffer, Bernard 2 2018 Pleijel’s theorem for Schrödinger operators with radial potentials. Zbl 1384.35048Charron, Philippe; Helffer, Bernard; Hoffmann-Ostenhof, Thomas 2 2018 A beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames. Zbl 1407.35237Cornean, Horia D.; Helffer, Bernard; Purice, Radu 1 2018 Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215Helffer, Bernard; Kachmar, Ayman 17 2017 The complex Airy operator on the line with a semipermeable barrier. Zbl 1430.47001Grebenkov, Denis S.; Helffer, Bernard; Henry, Raphael 10 2017 Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas 9 2017 Nodal and spectral minimal partitions – The state of the art in 2016. Zbl 1373.49050Bonnaillie-Noël, Virginie; Helffer, Bernard 6 2017 Dirichlet eigenfunctions in the cube, sharpening the Courant nodal inequality. Zbl 1386.35297Helffer, Bernard; Kiwan, Rola 5 2017 Decay of superconductivity away from the magnetic zero set. Zbl 1382.35285Helffer, Bernard; Kachmar, Ayman 4 2017 On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator. Zbl 1356.81132Helffer, Bernard; Sundqvist, Mikael Persson 4 2017 Low lying spectral gaps induced by slowly varying magnetic fields. Zbl 1372.35255Cornean, Horia D.; Helffer, Bernard; Purice, Radu 3 2017 On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator in non-simply connected domains. Zbl 1414.35134Helffer, Bernard; Persson Sundqvist, M. 2 2017 Mixed normal-superconducting states in the presence of strong electric currents. Zbl 1361.35171Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 2 2017 From constant to non-degenerately vanishing magnetic fields in superconductivity. Zbl 1361.82039Helffer, Bernard; Kachmar, Ayman 2 2017 Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in \(\mathbb{R}^2\). Zbl 1391.35020Bérard, Pierre; Helffer, Bernard 1 2017 On nodal domains in Euclidean balls. Zbl 1362.35200Helffer, Bernard; Sundqvist, Mikael Persson 7 2016 Magnetic wells in dimension three. Zbl 1351.81053Helffer, Bernard; Kordyukov, Yuri; Raymond, Nicolas; Ngọc, San Vũ 6 2016 Chambers’s formula for the graphene and the Hou model with kagome periodicity and applications. Zbl 1341.82125Helffer, Bernard; Kerdelhué, Philippe; Royo-Letelier, Jimena 5 2016 Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle. Zbl 1382.58021Bérard, Pierre; Helffer, Bernard 3 2016 The weak Pleijel theorem with geometric control. Zbl 1372.35194Bérard, Pierre; Helffer, Bernard 2 2016 A. Stern’s analysis of the nodal sets of some families of spherical harmonics revisited. Zbl 1351.33014Bérard, P.; Helffer, B. 2 2016 Degenerate parabolic operators of Kolmogorov type with a geometric control condition. Zbl 1311.93042Beauchard, Karine; Helffer, Bernard; Henry, Raphael; Robbiano, Luc 17 2015 Tunneling between corners for Robin Laplacians. Zbl 1319.35129Helffer, Bernard; Pankrashkin, Konstantin 13 2015 Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. Zbl 1390.35209Bérard, Pierre; Helffer, Bernard 10 2015 On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent. Zbl 1332.35241Almog, Yaniv; Helffer, Bernard 10 2015 The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330Helffer, Bernard; Kachmar, Ayman 10 2015 A review on large \(k\) minimal spectral \(k\)-partitions and Pleijel’s theorem. Zbl 1346.35132Helffer, B.; Hoffmann-Ostenhof, T. 9 2015 Nodal domains in the square – the Neumann case. Zbl 1342.35198Helffer, Bernard; Sundqvist, Mikael Persson 9 2015 Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator. Zbl 1338.81187Helffer, Bernard; Kordyukov, Yuri A. 5 2015 Edited extracts from Antonie Stern’s thesis. Zbl 1379.35204Bérard, Pierre; Helffer, Bernard 1 2015 Global stability of the normal state of superconductors in the presence of a strong electric current. Zbl 1304.35662Almog, Yaniv; Helffer, Bernard 7 2014 Minimal partitions for anisotropic tori. Zbl 1321.58006Helffer, Bernard; Hoffmann-Ostenhof, Thomas 3 2014 Semiclassical spectral asymptotics for a magnetic Schrödinger operator with non-vanishing magnetic field. Zbl 1317.81101Helffer, Bernard; Kordyukov, Yuri A. 2 2014 Remarks on the boundary set of spectral equipartitions. Zbl 1322.35006Bérard, P.; Helffer, B. 1 2014 Spectral theory and its applications. Zbl 1279.47002Helffer, Bernard 34 2013 On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259Helffer, Bernard; Hoffmann-Ostenhof, Thomas 11 2013 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. Zbl 1267.82139Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 8 2013 Sharp trace asymptotics for a class of \(2D\)-magnetic operators. Zbl 1301.35070Cornean, Horia D.; Fournais, Søren; Frank, Rupert L.; Helffer, Bernard 4 2013 On spectral minimal partitions: the disk revisited. Zbl 1389.35022Bonnaillie-Noël, Virginie; Helffer, Bernard 2 2013 Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition. Zbl 1273.35029Helffer, Bernard; Hoffmann-Ostenhof, Thomas 1 2013 Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator. Zbl 1325.35123Helffer, Bernard; Kordyukov, Yuri A. 1 2013 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. II: The large conductivity limit. Zbl 1263.82074Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 6 2012 Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells. Zbl 1247.35084Helffer, Bernard; Kordyukov, Yuri A. 4 2012 Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square with application to minimal partitions. Zbl 1270.35025Bonnaillie-Noël, V.; Helffer, B. 13 2011 On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current. Zbl 1223.82070Helffer, B. 9 2011 Superconductivity between \(H_{C_2}\) and \(H_{C_3}\). Zbl 1225.34097Fournais, Søren; Helffer, Bernard; Persson, Mikael 8 2011 Introduction to some conjectures for spectral minimal partitions. Zbl 1247.35181Helffer, B. 6 2011 Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator: the case of discrete wells. Zbl 1218.58017Helffer, Bernard; Kordyukov, Yuri A. 5 2011 Subellipticity and maximal hypoellipticity for two complex vector fields in \((2+2)\)-variables. Zbl 1235.35073Derridj, Makhlouf; Helffer, Bernard 2 2011 Spectral methods in surface superconductivity. Zbl 1256.35001Fournais, Søren; Helffer, Bernard 94 2010 On spectral minimal partitions: the case of the sphere. Zbl 1230.35072Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 25 2010 On spectral minimal partitions: a survey. Zbl 1225.35158Helffer, B. 19 2010 Numerical simulations for nodal domains and spectral minimal partitions. Zbl 1191.35189Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory 13 2010 The Montgomery model revisited. Zbl 1207.34110Helffer, B. 9 2010 Superconductivity near the normal state under the action of electric currents and induced magnetic fields in \(\mathbb R^2\). Zbl 1201.35179Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 8 2010 Spectral properties of higher order anharmonic oscillators. Zbl 1302.47069Helffer, B.; Persson, M. 7 2010 On minimal partitions: new properties and applications to the disk. Zbl 1231.35011Helffer, Bernard; Hoffmann-Ostenhof, Thomas 7 2010 Nodal minimal partitions in dimension 3. Zbl 1193.35162Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 7 2010 Remarks on two notions of spectral minimal partitions. Zbl 1222.35067Helffer, Bernard; Hoffmann-Ostenhof, Thomas 5 2010 Magnetic calculus and semiclassical trace formulas. Zbl 1204.81066Helffer, B.; Purice, R. 2 2010 Bulk superconductivity in type II superconductors near the second critical field. Zbl 1188.82152Fournais, Soren; Helffer, Bernard 2 2010 On the subellipticity of some hypoelliptic quasihomogeneous systems of complex vector fields. Zbl 1201.35093Derridj, M.; Helffer, B. 1 2010 Nodal domains and spectral minimal partitions. Zbl 1171.35083Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S. 56 2009 Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T. 15 2009 On mathematical models for Bose-Einstein condensates in optical lattices. Zbl 1171.82304Aftalion, Amandine; Helffer, Bernard 14 2009 Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom. Zbl 1184.35233Helffer, B.; Kordyukov, Y. A. 12 2009 On the Ginzburg-Landau critical field in three dimensions. Zbl 1159.35301Fournais, S.; Helffer, B. 10 2009 Semiclassical analysis of Schrödinger operators with magnetic wells. Zbl 1184.81058Helffer, Bernard; Kordyukov, Yuri A. 2 2009 Introduction to semi-classical methods for the Schrödinger operator with magnetic field. Zbl 1225.81063Helffer, Bernard 1 2009 Subelliptic estimates for some systems of complex vector fields: Quasihomogeneous case. Zbl 1172.35367Derridj, M.; Helffer, B. 1 2009 Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells. Zbl 1131.35054Helffer, Bernard; Kordyukov, Yuri A. 4 2008 Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells. Zbl 1156.81384Helffer, Bernard; Kordyukov, Yuri A. 3 2008 Reduced Landau-de Gennes functional and surface smectic state of liquid crystals. Zbl 1153.49003Helffer, Bernard; Pan, Xing-Bin 3 2008 Periodic magnetic Schrödinger operators: spectral gaps and tunneling effect. Zbl 1237.58029Kordyukov, Yu. A.; Helffer, B. 1 2008 Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces. Zbl 1144.32023Haslinger, Friedrich; Helffer, Bernard 19 2007 The distribution of surface superconductivity along the boundary: on a conjecture of X. B. Pan. Zbl 1136.82042Almog, Yaniv; Helffer, Bernard 13 2007 Strong diamagnetism for general domains and application. Zbl 1133.35073Fournais, Soeren; Helffer, Bernard 11 2007 Optimal uniform elliptic estimates for the Ginzburg-Landau system. Zbl 1161.35042Fournais, S.; Helffer, B. 7 2007 Converse spectral problems for nodal domains. Zbl 1125.35068Helffer, B.; Hoffmann-Ostenhof, T. 7 2007 The semiclassical regime for ablation front models. Zbl 1107.76081Helffer, Bernard; Lafitte, Olivier 3 2007 Nodal domains and spectral minimal partitions. Zbl 1216.35020Helffer, Bernard 1 2007 Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian. Zbl 1097.47020Fournais, Søren; Helffer, Bernard 27 2006 On the third critical field in Ginzburg-Landau theory. Zbl 1107.58009Fournais, S.; Helffer, B. 23 2006 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018Nier, F.; Helffer, B. 20 2006 Remarks on the Mittleman max-min variational method for the electron-positron field. Zbl 1091.81081Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz 2 2006 On the continuity of the response map and an alternative shooting method for the half-space Ginzburg-Landau model. Zbl 1102.65080Bolley, Catherine; Helffer, Bernard 1 2006 Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006Helffer, Bernard; Nier, Francis 97 2005 Energy asymptotics for type II superconductors. Zbl 1160.82365Fournais, S.; Helffer, B. 11 2005 On the Hartree-Fock equations of the electron-positron field. Zbl 1087.81055Barbaroux, Jean-Marie; Farkas, Walter; Helffer, Bernard; Siedentop, Heinz 9 2005 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025Helffer, Bernard; Klein, Markus; Nier, Francis 33 2004 Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case). Zbl 1057.35061Helffer, Bernard; Morame, Abderemane 18 2004 Nonlinear eigenvalues and analytic hypoellipticity. Zbl 1053.35045Chanillo, Sagun; Helffer, Bernard; Laptev, Ari 11 2004 ...and 156 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,377 Authors 122 Helffer, Bernard 38 Sjöstrand, Johannes 31 Martinez, André 29 Kachmar, Ayman 28 Robert, Didier 23 Raymond, Nicolas 20 Fournais, Søren 19 Pan, Xingbin 17 Gérard, Christian 17 Nourrigat, Jean Francois 17 Wang, Xueping 15 Bonnaillie-Noël, Virginie 14 Klein, Markus 14 Lewin, Mathieu 14 Sundqvist, Mikael Persson 13 Morame, Abderemane 13 Mughetti, Marco 12 Almog, Yaniv 12 Cornean, Horia D. 12 Hérau, Frédéric 12 Nakamura, Shu 12 Nicola, Fabio 12 Nier, Francis 12 Popoff, Nicolas 12 Ruzhansky, Michael V. 12 Zworski, Maciej 11 Parmeggiani, Alberto 10 Abatangelo, Laura 10 Klopp, Frédéric 10 Măntoiu, Marius Laurenţiu 10 Pankrashkin, Konstantin 10 Purice, Radu 10 Rodino, Luigi 10 Sobolev, Alexander V. 9 Briet, Philippe 9 Bruneau, Vincent 9 Christ, Michael 9 Derridj, Makhlouf 9 Dimassi, Mouez 9 Felli, Veronica 9 Hainzl, Christian 9 Kordyukov, Yuri A. 9 Ludwig, Ursula Beate 9 Pravda-Starov, Karel 9 Rougerie, Nicolas 8 Bérard, Pierre H. 8 Bolley, Catherine 8 Fujiié, Setsuro 8 Haslinger, Friedrich 8 Himonas, A. Alexandrou 8 Léna, Corentin 8 Levy-Bruhl, Pierre 8 Rosenberger, Elke 8 Sigal, Israel Michael 8 Simon, Barry 7 Anikin, A. Yu. 7 Correggi, Michele 7 Dobrokhotov, Sergei Yurievich 7 Frank, Rupert L. 7 Grigis, Alain 7 Hislop, Peter D. 7 Müller, Detlef 7 Petronilho, Gerson 7 Ramond, Thierry 7 Ricci, Fulvio 7 Rivière, Gabriel 7 Rothschild, Linda Preiss 7 Tamura, Hideo 7 Terracini, Susanna 7 Uribe, Alejandro 7 Wang, Xue Ping 6 Beauchard, Karine 6 Bismut, Jean-Michel 6 Bony, Jean-François 6 Bove, Antonio 6 Cappiello, Marco 6 Chen, Hua 6 Dauge, Monique 6 Exner, Pavel 6 Hitrik, Michael 6 Hoffmann-Ostenhof, Thomas 6 Iantchenko, Alexei 6 Iftimie, Viorel 6 Jitomirskaya, Svetlana Ya. 6 Johnsen, Jon 6 Le Peutrec, Dorian 6 Lelièvre, Tony 6 Levendorskiĭ, Sergeĭ Zakharovich 6 Li, Weixi 6 Miyamoto, Yasuhito 6 Parnovski, Leonid 6 Raikov, Georgi D. 6 Sacchetti, Andrea 6 Séré, Eric 6 Sordoni, Vania 6 Teufel, Stefan 6 Vũ Ngọc, San 6 Weder, Ricardo A. 5 Adachi, Tadayoshi 5 Aida, Shigeki ...and 1,277 more Authors all top 5 Cited in 245 Serials 139 Journal of Functional Analysis 138 Communications in Mathematical Physics 83 Journal of Mathematical Physics 71 Communications in Partial Differential Equations 55 Annales de l’Institut Henri Poincaré. Physique Théorique 50 Journal of Differential Equations 47 Annales Henri Poincaré 43 Annales de l’Institut Fourier 37 Transactions of the American Mathematical Society 32 Reviews in Mathematical Physics 32 Duke Mathematical Journal 31 Journal of Mathematical Analysis and Applications 30 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Letters in Mathematical Physics 24 Journal of Statistical Physics 21 Proceedings of the American Mathematical Society 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Journal of Spectral Theory 20 Calculus of Variations and Partial Differential Equations 18 Journal d’Analyse Mathématique 18 Advances in Mathematics 17 Archive for Rational Mechanics and Analysis 17 SIAM Journal on Mathematical Analysis 15 Inventiones Mathematicae 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Journal of Pseudo-Differential Operators and Applications 11 The Annals of Probability 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Communications in Contemporary Mathematics 10 Integral Equations and Operator Theory 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Annals of Global Analysis and Geometry 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Journal of Geometry and Physics 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 9 The Journal of Geometric Analysis 9 Potential Analysis 9 Journal of the European Mathematical Society (JEMS) 8 Theoretical and Mathematical Physics 8 Mathematische Annalen 8 Russian Journal of Mathematical Physics 8 Journal of Mathematical Sciences (New York) 7 Arkiv för Matematik 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Bulletin de la Société Mathématique de France 7 Mathematische Nachrichten 7 Mémoires de la Société Mathématique de France. Nouvelle Série 6 Mathematical Notes 6 Mathematische Zeitschrift 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Geometric and Functional Analysis. GAFA 6 Bulletin of the American Mathematical Society. New Series 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 St. Petersburg Mathematical Journal 6 Discrete and Continuous Dynamical Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Mathematical Physics, Analysis and Geometry 6 Annals of Mathematics. Second Series 6 Kinetic and Related Models 5 Reports on Mathematical Physics 5 Functional Analysis and its Applications 5 Memoirs of the American Mathematical Society 5 Physica D 5 Probability Theory and Related Fields 5 Revista Matemática Iberoamericana 5 Stochastic Processes and their Applications 5 Analysis & PDE 4 Applicable Analysis 4 Communications on Pure and Applied Mathematics 4 Israel Journal of Mathematics 4 Mathematical Methods in the Applied Sciences 4 Acta Mathematica 4 Journal of the Mathematical Society of Japan 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matematico della Università di Padova 4 Asymptotic Analysis 4 Journal of Scientific Computing 4 Annales Mathématiques Blaise Pascal 4 Bulletin des Sciences Mathématiques 4 Documenta Mathematica 4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of the Institute of Mathematics of Jussieu 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics and Computation 3 Numerische Mathematik 3 Quarterly of Applied Mathematics 3 Acta Applicandae Mathematicae 3 Journal of the American Mathematical Society 3 Annals of Physics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Acta Mathematica Sinica. New Series 3 Bernoulli 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Communications on Pure and Applied Analysis 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Kyoto Journal of Mathematics 3 Annales Mathématiques du Québec 3 Séminaire Laurent Schwartz. EDP et Applications ...and 145 more Serials all top 5 Cited in 57 Fields 1,098 Partial differential equations (35-XX) 582 Quantum theory (81-XX) 371 Operator theory (47-XX) 267 Statistical mechanics, structure of matter (82-XX) 240 Global analysis, analysis on manifolds (58-XX) 114 Ordinary differential equations (34-XX) 109 Probability theory and stochastic processes (60-XX) 69 Dynamical systems and ergodic theory (37-XX) 66 Functional analysis (46-XX) 59 Numerical analysis (65-XX) 57 Topological groups, Lie groups (22-XX) 51 Differential geometry (53-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 42 Several complex variables and analytic spaces (32-XX) 35 Optics, electromagnetic theory (78-XX) 34 Abstract harmonic analysis (43-XX) 25 Fluid mechanics (76-XX) 22 Mechanics of particles and systems (70-XX) 17 Real functions (26-XX) 16 Systems theory; control (93-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Special functions (33-XX) 13 Difference and functional equations (39-XX) 12 Measure and integration (28-XX) 12 Potential theory (31-XX) 12 Manifolds and cell complexes (57-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Functions of a complex variable (30-XX) 10 Combinatorics (05-XX) 10 Biology and other natural sciences (92-XX) 9 Number theory (11-XX) 9 Relativity and gravitational theory (83-XX) 8 Mechanics of deformable solids (74-XX) 7 Integral equations (45-XX) 6 Algebraic geometry (14-XX) 6 Convex and discrete geometry (52-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Integral transforms, operational calculus (44-XX) 4 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 4 Geometry (51-XX) 4 Statistics (62-XX) 3 \(K\)-theory (19-XX) 3 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Approximations and expansions (41-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.