Communications in Partial Differential Equations Short Title: Commun. Partial Differ. Equations Publisher: Taylor & Francis, Philadelphia, PA ISSN: 0360-5302; 1532-4133/e Online: http://www.tandfonline.com/loi/lpde20 Comments: Indexed cover-to-cover Documents Indexed: 2,902 Publications (since 1976) References Indexed: 2,663 Publications with 53,091 References. all top 5 Latest Issues 46, No. 6 (2021) 46, No. 4 (2021) 46, No. 3 (2021) 46, No. 2 (2021) 46, No. 1 (2021) 45, No. 12 (2020) 45, No. 11 (2020) 45, No. 10 (2020) 45, No. 9 (2020) 45, No. 8 (2020) 45, No. 7 (2020) 45, No. 6 (2020) 45, No. 5 (2020) 45, No. 4 (2020) 45, No. 3 (2020) 45, No. 2 (2020) 45, No. 1 (2020) 44, No. 12 (2019) 44, No. 11 (2019) 44, No. 10 (2019) 44, No. 9 (2019) 44, No. 8 (2019) 44, No. 7 (2019) 44, No. 6 (2019) 44, No. 5 (2019) 44, No. 4 (2019) 44, No. 3 (2019) 44, No. 2 (2019) 44, No. 1 (2019) 43, No. 12 (2018) 43, No. 11 (2018) 43, No. 10 (2018) 43, No. 9 (2018) 43, No. 8 (2018) 43, No. 7 (2018) 43, No. 6 (2018) 43, No. 5 (2018) 43, No. 4 (2018) 43, No. 3 (2018) 43, No. 2 (2018) 42, No. 12 (2017) 42, No. 11 (2017) 42, No. 10 (2017) 42, No. 9 (2017) 42, No. 8 (2017) 42, No. 7 (2017) 42, No. 6 (2017) 42, No. 5 (2017) 42, No. 4 (2017) 42, No. 3 (2017) 42, No. 2 (2017) 42, No. 1 (2017) 41, No. 12 (2016) 41, No. 11 (2016) 41, No. 10 (2016) 41, No. 9 (2016) 41, No. 8 (2016) 41, No. 7 (2016) 41, No. 6 (2016) 41, No. 5 (2016) 41, No. 4 (2016) 41, No. 3 (2016) 41, No. 2 (2016) 41, No. 1 (2016) 40, No. 12 (2015) 40, No. 11 (2015) 40, No. 10 (2015) 40, No. 9 (2015) 40, No. 8 (2015) 40, No. 7 (2015) 40, No. 6 (2015) 40, No. 5 (2015) 40, No. 4 (2015) 40, No. 3 (2015) 40, No. 2 (2015) 40, No. 1 (2015) 39, No. 12 (2014) 39, No. 11 (2014) 39, No. 10 (2014) 39, No. 9 (2014) 39, No. 8 (2014) 39, No. 7 (2014) 39, No. 6 (2014) 39, No. 5 (2014) 39, No. 4 (2014) 39, No. 3 (2014) 39, No. 2 (2014) 39, No. 1 (2014) 38, No. 12 (2013) 38, No. 11 (2013) 38, No. 10 (2013) 38, No. 7-9 (2013) 38, No. 4-6 (2013) 38, No. 1-3 (2013) 37, No. 10-12 (2012) 37, No. 9 (2012) 37, No. 8 (2012) 37, No. 7 (2012) 37, No. 4-6 (2012) 37, No. 1-3 (2012) ...and 200 more Volumes all top 5 Authors 18 Caffarelli, Luis Ángel 17 Lions, Pierre-Louis 16 Feireisl, Eduard 16 Vazquez, Juan Luis 15 Taylor, Michael Eugene 13 Krylov, Nicolaĭ Vladimirovich 12 Friedman, Avner 12 Métivier, Guy 12 Sjöstrand, Johannes 12 Velázquez, Juan J. L. 11 Colombini, Ferruccio 11 Helffer, Bernard 11 Kenig, Carlos Eduardo 11 Tartakoff, David S. 11 Uhlmann, Gunther Alberto 10 Alinhac, Serge 10 Barles, Guy 10 Giga, Yoshikazu 10 Gutiérrez, Cristian E. 10 Ishii, Hitoshi 10 Parenti, Cesare 10 Schonbek, Maria Elena 9 Da Prato, Giuseppe 9 Eskin, Gregory 9 Grillakis, Manoussos G. 9 Grubb, Gerd 9 Lin, Chang-Shou 9 Masmoudi, Nader 9 Tataru, Daniel 9 Zuily, Claude 8 Choe, Hi Jun 8 Koch, Herbert 8 Li, Tatsien 8 Lieberman, Gary M. 8 Parmeggiani, Alberto 8 Ponce, Gustavo 8 Sá Barreto, Antônio 8 Vodev, Georgi 8 Wei, Juncheng 7 Carrillo de la Plata, José Antonio 7 Dauge, Monique 7 Desvillettes, Laurent 7 Dong, Hongjie 7 Felmer, Patricio L. 7 Isakov, Victor M. 7 Lascar, Bernard 7 Laurençot, Philippe 7 Nicaise, Serge 7 Perthame, Benoît 7 Raikov, Georgi D. 7 Rauch, Jeffrey B. 7 Roquejoffre, Jean-Michel 7 Schochet, Steven H. 7 Vasy, András 7 Vega, Luis 7 Wang, Zhi-Qiang 7 Winkler, Michael 7 Zuazua, Enrique 6 Bal, Guillaume 6 Bolley, Pierre 6 Cardoso, Fernando 6 Chae, Dongho 6 Delort, Jean-Marc 6 Dolbeault, Jean 6 Escher, Joachim 6 Holden, Helge 6 Kang, Kyungkeun 6 Lasiecka, Irena 6 Lebeau, Gilles 6 Majda, Andrew J. 6 Melrose, Richard Burt 6 Monneau, Régis 6 Nakamura, Shu 6 Nishitani, Tatsuo 6 Nourrigat, Jean Francois 6 Novotný, Antonín 6 Poláčik, Peter 6 Rivière, Tristan 6 Rothschild, Linda Preiss 6 Ryzhik, Lenya 6 Sire, Yannick 6 Sogge, Christopher D. 6 Tsai, Tai-Peng 6 Valdinoci, Enrico 6 Xin, Zhouping 6 Zhang, Ping 6 Zhou, Yi 6 Zhou, Zhengfang 5 Adimurthi, A. 5 Baouendi, Mohammed Salah 5 Berhanu, Shiferaw 5 Bove, Antonio 5 Brézis, Haïm 5 Chanillo, Sagun 5 Chemin, Jean-Yves 5 Christianson, Hans 5 Chueshov, Igor’ Dmitrievich 5 Danchin, Raphaël 5 Guedes de Figueiredo, Djairo 5 de Hoop, Maarten V. ...and 2,707 more Authors all top 5 Fields 2,703 Partial differential equations (35-XX) 332 Fluid mechanics (76-XX) 322 Global analysis, analysis on manifolds (58-XX) 247 Operator theory (47-XX) 162 Quantum theory (81-XX) 135 Calculus of variations and optimal control; optimization (49-XX) 128 Differential geometry (53-XX) 91 Statistical mechanics, structure of matter (82-XX) 82 Functional analysis (46-XX) 69 Probability theory and stochastic processes (60-XX) 67 Dynamical systems and ergodic theory (37-XX) 63 Mechanics of deformable solids (74-XX) 55 Optics, electromagnetic theory (78-XX) 48 Biology and other natural sciences (92-XX) 46 Several complex variables and analytic spaces (32-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 43 Integral equations (45-XX) 42 Potential theory (31-XX) 35 Numerical analysis (65-XX) 34 Systems theory; control (93-XX) 29 Ordinary differential equations (34-XX) 26 Topological groups, Lie groups (22-XX) 24 Relativity and gravitational theory (83-XX) 23 Real functions (26-XX) 20 Abstract harmonic analysis (43-XX) 19 Classical thermodynamics, heat transfer (80-XX) 15 Functions of a complex variable (30-XX) 15 Mechanics of particles and systems (70-XX) 15 Geophysics (86-XX) 10 Integral transforms, operational calculus (44-XX) 10 Manifolds and cell complexes (57-XX) 9 Difference and functional equations (39-XX) 7 Measure and integration (28-XX) 6 Number theory (11-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Algebraic topology (55-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 4 Operations research, mathematical programming (90-XX) 3 Special functions (33-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,642 Publications have been cited 47,223 times in 32,351 Documents Cited by ▼ Year ▼ An extension problem related to the fractional Laplacian. Zbl 1143.26002Caffarelli, Luis; Silvestre, Luis 1,128 2007 The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089Otto, Felix 435 2001 A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041Gidas, B.; Spruck, J. 395 1981 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 367 1982 Existence and multiplicity results for some superlinear elliptic problems on \(\mathbb{R}^ N\). Zbl 0837.35043Bartsch, Thomas; Wang, Zhi-Qiang 363 1995 Uniform estimates and blow-up behavior for solutions of \(-\Delta{} u =V(x) e^ u\) in two dimensions. Zbl 0746.35006Brézis, Haïm; Merle, Frank 332 1991 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 319 1977 The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028Lieberman, Gary M. 317 1991 Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139Winkler, Michael 304 2010 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071Lebeau, G.; Robbiano, L. 268 1995 \(L^p\) bounds of solutions of reaction-diffusion equations. Zbl 0421.35009Alikakos, Nicholas D. 260 1979 First order quasilinear equations with boundary conditions. Zbl 0418.35024Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C. 254 1979 A chemotaxis system with logistic source. Zbl 1121.37068Tello, J. Ignacio; Winkler, Michael 250 2007 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043Boccardo, L.; Gallouet, T. 244 1992 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071Brézis, Haïm; Wainger, Stephen 233 1980 Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192Winkler, Michael 226 2012 Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class \((V)_ a\). Zbl 0702.35228Oh, Yonggeun 218 1988 Multiple wells in the semi-classical limit. I. Zbl 0546.35053Helffer, B.; Sjöstrand, J. 217 1984 Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang 217 2004 On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024Tolksdorf, Peter 202 1983 Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010Zuazua, Enrike 195 1990 On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun 181 2003 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 175 1991 Nontrivial solution of semilinear elliptic equation with critical exponent in \({\mathbb{R}{}}^ 2\). Zbl 0763.35034Cao, D. M. 175 1992 A Rellich type identity and applications. Zbl 0816.35027Mitidieri, Enzo 175 1993 Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068Kozono, Hideo; Yamazaki, Masao 175 1994 Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013Stinga, Pablo Raúl; Torrea, José Luis 175 2010 Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071Schonbek, Maria E. 164 1986 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005Duan, Renjun; Lorz, Alexander; Markowich, Peter 163 2010 Elliptic theory of differential edge operators. I. Zbl 0745.58045Mazzeo, Rafe 162 1991 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023Lions, P.-L. 162 1983 On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas 156 2001 Positive solutions of semilinear elliptic systems. Zbl 0818.35027Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E. 150 1992 Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050Schaeffer, Jack 148 1991 An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030Craig, Walter 147 1985 Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069García Azorero, J. P.; Peral Alonso, I. 138 1987 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 135 2011 Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079Krylov, N. V. 132 2007 Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047Taylor, Michael E. 129 1992 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 127 1980 Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080Holden, Helge; Raynaud, Xavier 125 2007 Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157Guo, Yan; Wang, Yanjin 125 2012 Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030Hieber, Matthias; Prüss, Jan 122 1997 Regularity criteria for the generalized MHD equations. Zbl 1134.76068Wu, Jiahong 120 2008 Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110Brenier, Y. 118 2000 On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070Mellet, A.; Vasseur, A. 117 2007 Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071Danchin, Raphaël 117 2001 On a singular nonlinear Dirichlet problem. Zbl 0692.35047Coclite, M. M.; Palmieri, G. 117 1989 Wave packets and Fourier integral operators. Zbl 0389.35046Cordoba, Antonio; Fefferman, Charles 116 1978 Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 116 2004 Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072Giga, Yoshikazu; Miyakawa, Tetsuro 115 1989 On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012Bogachev, V. I.; Krylov, N. V.; Röckner, M. 115 2001 Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058Schonbek, Maria Elena 113 1982 Classification of solutions for a system of integral equations. Zbl 1073.45005Chen, Wenxiong; Li, Congming; Ou, Biao 113 2005 On a class of superlinear elliptic problems. Zbl 0358.35032Brézis, Haïm; Turner, R. E. L. 112 1977 Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021Tataru, Daniel 110 1995 Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116Gui, Changfeng 110 1996 Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089Hmidi, T.; Keraani, S.; Rousset, F. 107 2011 Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022Adimurthi; Druet, O. 107 2004 Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084Yang, Tong; Yao, Zheng-an; Zhu, Changjiang 106 2001 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 105 1993 A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 105 2003 A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026Kinnunen, Juha; Zhou, Shulin 102 1999 Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 98 2014 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086Cordier, Stéphane; Grenier, Emmanuel 98 2000 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 98 1996 A damped hyperbolic equation with critical exponent. Zbl 0815.35067Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K. 94 1992 Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014Barron, E. N.; Jensen, R. 94 1990 Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051Sideris, Thomas C.; Thomases, Becca; Wang, Dehua 90 2003 Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010Choe, Hi Jun; Kim, Hyunseok 90 2003 Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023Hörmander, Lars 90 1983 Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063Alinhac, S. 90 1989 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109Desvillettes, Laurent; Villani, Cédric 88 2000 Convexity properties of solutions to some classical variational problems. Zbl 0508.49013Caffarelli, Luis A.; Spruck, Joel 86 1982 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 86 2010 An elliptic equation with singular nonlinearity. Zbl 0634.35031Diaz, J. I.; Morel, J. M.; Oswald, L. 86 1987 On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030Iório, Rafael José jun. 85 1986 Local existence and uniqueness of solutions of degenerate parabolic equations. Zbl 0738.35033Anderson, Jeffrey R. 84 1991 The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245Tao, Terence; Visan, Monica; Zhang, Xiaoyi 84 2007 Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034Mignot, Fulbert; Puel, Jean-Pierre 83 1980 \(W^{1,2}_ p\) solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045Bramanti, Marco; Cerutti, M. Christina 83 1993 Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich 82 1994 Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014Smith, Hart F.; Sogge, Christopher D. 82 2000 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 82 1987 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 82 1986 Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301Le Bris, C.; Lions, P.-L. 82 2008 Recovering a potential from partial Cauchy data. Zbl 0998.35063Bukhgeim, Alexander L.; Uhlmann, Gunther 81 2002 Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019Nicolaenko, B.; Scheurer, B.; Temam, R. 81 1989 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022Lions, P.-L. 80 1983 Almost exponential decay near Maxwellian. Zbl 1096.82010Strain, Robert M.; Guo, Yan 79 2006 Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. Zbl 0741.35014Li, Congming 77 1991 Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions. Zbl 0884.35167Brown, Russell M.; Uhlmann, Gunther A. 77 1997 An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024Capogna, Luca; Danielli, Donatella; Garofalo, Nicola 77 1993 Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025Fusco, Nicola; Sbordone, Carlo 76 1993 Profile of blow-up solutions to mean field equations with singular data. Zbl 1062.35146Bartolucci, Daniele; Chen, Chiun-Chuan; Lin, Chang-Shou; Tarantello, Gabriella 76 2004 The rate at which energy decays in a damped string. Zbl 0818.35072Cox, Steven; Zuazua, Enrique 75 1994 On a class of doubly nonlinear evolution equations. Zbl 0707.34053Colli, P.; Visintin, A. 75 1990 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 75 2011 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 74 2009 The Kato-Ponce inequality. Zbl 1301.42026Grafakos, Loukas; Oh, Seungly 73 2014 Attractors of the Einstein-Klein-Gordon system. Zbl 1462.35386Fajman, David; Wyatt, Zoe 2 2021 Liouville type theorems and regularity of solutions to degenerate or singular problems. I: Even solutions. Zbl 07324461Sire, Yannick; Terracini, Susanna; Vita, Stefano 2 2021 On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286Danchin, Raphaël; Tan, Jin 1 2021 Localisation of the first eigenfunction of a convex domain. Zbl 1466.35271Beck, Thomas 1 2021 Short-time existence of the \(\alpha\)-Dirac-harmonic map flow and applications. Zbl 07361907Jost, Jürgen; Zhu, Jingyong 1 2021 Mild assumptions for the derivation of Einstein’s effective viscosity formula. Zbl 07378230Gérard-Varet, David; Höfer, Richard M. 1 2021 Long time existence of solutions to an elastic flow of networks. Zbl 1460.35036Garcke, Harald; Menzel, Julia; Pluda, Alessandra 4 2020 Nonlocal operators with singular anisotropic kernels. Zbl 07143800Chaker, Jamil; Kassmann, Moritz 3 2020 Free boundary regularity for a multiphase shape optimization problem. Zbl 1430.35279Spolaor, Luca; Trey, Baptiste; Velichkov, Bozhidar 3 2020 Reconstruction of piecewise constant layered conductivities in electrical impedance tomography. Zbl 1448.35572Garde, Henrik 3 2020 Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360Bradshaw, Zachary; Tsai, Tai-Peng 3 2020 Inverse random source problems for time-harmonic acoustic and elastic waves. Zbl 1461.78007Li, Jianliang; Helin, Tapio; Li, Peijun 3 2020 Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential. Zbl 1437.35046Kosygina, Elena; Yilmaz, Atilla; Zeitouni, Ofer 2 2020 Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains. Zbl 07150262Iftimie, D.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. 2 2020 A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton-Jacobi equations. Zbl 1436.35010Filippucci, Roberta; Pucci, Patrizia; Souplet, Philippe 2 2020 Hamilton-Jacobi in metric spaces with a homological term. Zbl 1452.35066Bessi, Ugo 2 2020 Linear and fully nonlinear elliptic equations with \(L_d\)-drift. Zbl 1460.35141Krylov, Nicolai V. 2 2020 On two methods for quantitative unique continuation results for some nonlocal operators. Zbl 1460.35061García-Ferrero, María Ángeles; Rüland, Angkana 2 2020 Mean field games under invariance conditions for the state space. Zbl 1430.35111Porretta, Alessio; Ricciardi, Michele 1 2020 Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. II: Generic nonlinearities. Zbl 1439.35200Matano, H.; Poláčik, P. 1 2020 The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032Ishii, Hitoshi; Siconolfi, Antonio 1 2020 Hot spots in convex domains are in the tips (up to an inradius). Zbl 1444.35034Steinerberger, Stefan 1 2020 Solutions with peaks for a coagulation-fragmentation equation. I: Stability of the tails. Zbl 1441.35044Bonacini, Marco; Niethammer, Barbara; Velázquez, Juan J. L. 1 2020 On mean curvature flow with forcing. Zbl 1439.35242Kim, Inwon; Kwon, Dohyun 1 2020 On qualitative properties of solutions for elliptic problems with the \(p\)-Laplacian through domain perturbations. Zbl 1437.35402Bobkov, Vladimir; Kolonitskii, Sergey 1 2020 Strictly locally convex hypersurfaces with prescribed curvature and boundary in space forms. Zbl 1437.35417Sui, Zhenan 1 2020 On the existence of \(L^2\)-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions. Zbl 1448.35330Marchesani, Stefano; Olla, Stefano 1 2020 The Hartree-Fock equations in modulation spaces. Zbl 1448.35420Bhimani, Divyang G.; Grillakis, Manoussos; Okoudjou, Kasso A. 1 2020 Exponential stability for the nonlinear Schrödinger equation with locally distributed damping. Zbl 1448.35462Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Özsarı, Türker; Sepúlveda, Mauricio; Véjar-Asem, Rodrigo 1 2020 On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis 1 2020 Nonlocal dissipation measure and \(L^1\) kinetic theory for fractional conservation laws. Zbl 1448.35536Alibaud, Nathaël; Andreianov, Boris; Ouédraogo, Adama 1 2020 Free boundary problems involving singular weights. Zbl 1452.35057Lamboley, Jimmy; Sire, Yannick; Teixeira, Eduardo V. 1 2020 Fully nonlinear integro-differential equations with deforming kernels. Zbl 1452.35055Caffarelli, Luis; Teymurazyan, Rafayel; Urbano, José Miguel 1 2020 On the unique continuation of solutions to non-local non-linear dispersive equations. Zbl 1451.35164Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L. 1 2020 Almost minimizers of the one-phase free boundary problem. Zbl 1452.35006De Silva, D.; Savin, O. 1 2020 Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. Zbl 1459.35233Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola 1 2020 An analytic construction of singular solutions related to a critical Yamabe problem. Zbl 1464.35119Chan, Hardy; DelaTorre, Azahara 1 2020 On degenerate circular and shear flows: the point vortex and power law circular flows. Zbl 1458.76036Coti Zelati, Michele; Zillinger, Christian 10 2019 Some remarks on mean field games. Zbl 1411.91100Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis 9 2019 Infinitely many Leray-Hopf solutions for the fractional Navier-Stokes equations. Zbl 1416.35183De Rosa, Luigi 9 2019 Almost sure scattering for the energy-critical NLS with radial data below \(H^1(\mathbb{R}^4)\). Zbl 1416.35241Killip, Rowan; Murphy, Jason; Visan, Monica 8 2019 Vanishing contact structure problem and convergence of the viscosity solutions. Zbl 1437.35155Chen, Qinbo; Cheng, Wei; Ishii, Hitoshi; Zhao, Kai 8 2019 Inverse problems for quadratic derivative nonlinear wave equations. Zbl 1439.35572Wang, Yiran; Zhou, Ting 8 2019 The bulk-edge correspondence for continuous honeycomb lattices. Zbl 1428.82009Drouot, Alexis 8 2019 A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka 8 2019 On weak-strong uniqueness for the compressible Navier-Stokes system with non-monotone pressure law. Zbl 1416.35184Feireisl, Eduard 7 2019 Localization of eigenfunctions via an effective potential. Zbl 1432.35061Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana 7 2019 Fractional Laplacian with Hardy potential. Zbl 07051869Bogdan, Krzysztof; Grzywny, Tomasz; Jakubowski, Tomasz; Pilarczyk, Dominika 6 2019 Existence and concentration results for some fractional Schrödinger equations in \(\mathbb{R}^N\) with magnetic fields. Zbl 1435.35404Ambrosio, Vincenzo 6 2019 Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter 6 2019 The Dirichlet problem for the logarithmic Laplacian. Zbl 1423.35390Chen, Huyuan; Weth, Tobias 5 2019 Local uniqueness of \(m\)-bubbling sequences for the Gel’fand equation. Zbl 1414.35037Bartolucci, Daniele; Jevnikar, Aleks; Lee, Youngae; Yang, Wen 4 2019 Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070Jiang, Feida; Trudinger, Neil S. 4 2019 Green’s function for second order elliptic equations with singular lower order coefficients. Zbl 1420.35077Kim, Seick; Sakellaris, Georgios 3 2019 Riesz transforms on a class of non-doubling manifolds. Zbl 1440.42055Hassell, Andrew; Sikora, Adam 3 2019 Quantitative uniqueness of solutions to second-order elliptic equations with singular lower order terms. Zbl 1427.35026Davey, Blair; Zhu, Jiuyi 3 2019 A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary. Zbl 1420.35211Hadžić, Mahir; Shkoller, Steve; Speck, Jared 3 2019 Global regularity and fast small-scale formation for Euler patch equation in a smooth domain. Zbl 1416.35195Kiselev, Alexander; Li, Chao 2 2019 A Lipschitz metric for the Hunter-Saxton equation. Zbl 1420.35305Carrillo, José Antonio; Grunert, Katrin; Holden, Helge 2 2019 Infinitely many positive standing waves for Schrödinger equations with competing coefficients. Zbl 1421.35063Cerami, Giovanna; Molle, Riccardo 2 2019 Improved parametrix in the glancing region for the interior Dirichlet-to-Neumann map. Zbl 1415.35008Vodev, Georgi 2 2019 Emergence of exponentially weighted \(L^p\)-norms and Sobolev regularity for the Boltzmann equation. Zbl 07060030Alonso, Ricardo 2 2019 Generalized Bergman kernels on symplectic manifolds of bounded geometry. Zbl 1425.58016Kordyukov, Yuri A.; Ma, Xiaonan; Marinescu, George 2 2019 On uniqueness of dissipative solutions to the isentropic Euler system. Zbl 1428.35325Feireisl, Eduard; Ghoshal, Shyam Sundar; Jana, Animesh 2 2019 A remark on a surprising result by Bourgain in homogenization. Zbl 1426.35012Duerinckx, Mitia; Gloria, Antoine; Lemm, Marius 2 2019 Some remarks about the possible blow-up for the Navier-Stokes equations. Zbl 1428.35277Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping 2 2019 Uniform in \(N\) estimates for a bosonic system of Hartree-Fock-Bogoliubov type. Zbl 1428.35423Grillakis, M.; Machedon, M. 2 2019 Some quantitative homogenization results in a simple case of interface. Zbl 1420.35031Josien, Marc 2 2019 Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass. Zbl 1418.35189Wang, Jun; Wang, Zhian; Yang, Wen 1 2019 \(C^{1,\alpha}\) isometric extensions. Zbl 1415.53006Cao, Wentao; Székelyhidi, László jun. 1 2019 On Serrin’s overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg. Zbl 1418.35191Wang, Kelei; Wei, Juncheng 1 2019 Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary conditions. Zbl 1428.58019Bandara, Lashi; Rosén, Andreas 1 2019 Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schrödinger equation with harmonic trapping. Zbl 1428.35508Fennell, James 1 2019 Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay. Zbl 1423.35148Cáceres, María J.; Roux, Pierre; Salort, Delphine; Schneider, Ricarda 1 2019 On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient. Zbl 1428.35125Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis 1 2019 On a Schrödinger operator with a purely imaginary potential in the semiclassical limit. Zbl 1426.35099Almog, Y.; Grebenkov, D. S.; Helffer, B. 1 2019 Local strong solutions to the stochastic compressible Navier-Stokes system. Zbl 1390.60226Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina 16 2018 Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 1452.35269Flandoli, Franco 16 2018 Wulff shape characterizations in overdetermined anisotropic elliptic problems. Zbl 1411.35214Bianchini, Chiara; Ciraolo, Giulio 14 2018 Well-posedness by noise for scalar conservation laws. Zbl 1420.60081Gess, Benjamin; Maurelli, Mario 8 2018 Hermitian Yang-Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds. Zbl 07041355Jacob, Adam; Walpuski, Thomas 8 2018 Mass and asymptotics associated to fractional Hardy-Schrödinger operators in critical regimes. Zbl 1406.35465Ghoussoub, Nassif; Robert, Frédéric; Shakerian, Shaya; Zhao, Mingfeng 7 2018 Global well-posedness for the derivative non-linear Schrödinger equation. Zbl 1412.35309Jenkins, Robert; Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine 7 2018 Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes. Zbl 1448.60136Giunti, Arianna; Höfer, Richard; Velázquez, Juan J. L. 7 2018 \(C^{1,1}\) regularity for degenerate complex Monge-Ampère equations and geodesic rays. Zbl 1404.32075Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben 6 2018 Stationary vacuum black holes in 5 dimensions. Zbl 1411.83048Khuri, Marcus; Weinstein, Gilbert; Yamada, Sumio 6 2018 On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077Barker, Tobias; Seregin, G.; Šverák, V. 6 2018 Global existence for quasilinear wave equations close to Schwarzschild. Zbl 1411.35209Lindblad, Hans; Tohaneanu, Mihai 5 2018 Perron’s method for pathwise viscosity solutions. Zbl 1407.60089Seeger, Benjamin 5 2018 A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness. Zbl 07024450Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. 5 2018 Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data. Zbl 1421.35219Dodson, Benjamin 5 2018 Symmetry and uniqueness of solutions to some Liouville-type equations and systems. Zbl 1391.35156Gui, Changfeng; Jevnikar, Aleks; Moradifam, Amir 5 2018 Optimal density evolution with congestion: \(L^\infty \) bounds via flow interchange techniques and applications to variational mean field games. Zbl 1414.49026Lavenant, Hugo; Santambrogio, Filippo 4 2018 On correctors for linear elliptic homogenization in the presence of local defects. Zbl 1423.35092Blanc, X.; Le Bris, C.; Lions, P.-L. 4 2018 Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities. Zbl 1409.35122Roidos, Nikolaos; Schrohe, Elmar 4 2018 Local energy decay for Lipschitz wavespeeds. Zbl 1421.35198Shapiro, Jacob 4 2018 Spectrum and index of two-sided Allen-Cahn minimal hypersurfaces. Zbl 1462.53057Hiesmayr, Fritz 4 2018 Homogenization and boundary layers in domains of finite type. Zbl 1411.35030Zhuge, Jinping 4 2018 Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles. Zbl 1388.31010Vico, Felipe; Greengard, Leslie; Ferrando, Miguel 3 2018 On the isoperimetric quotient over scalar-flat conformal classes. Zbl 1414.53030Jin, Tianling; Xiong, Jingang 3 2018 ...and 1724 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 17,495 Authors 140 Wei, Juncheng 139 Papageorgiou, Nikolaos S. 100 Rădulescu, Vicenţiu D. 95 Guo, Boling 95 Mu, Chunlai 94 Vazquez, Juan Luis 89 Tang, Xianhua 86 Winkler, Michael 84 Alves, Claudianor Oliveira 82 Feireisl, Eduard 81 Carrillo de la Plata, José Antonio 76 Helffer, Bernard 76 Uhlmann, Gunther Alberto 73 Tan, Zhong 66 Valdinoci, Enrico 62 Lin, Chang-Shou 62 Rossi, Julio Daniel 61 Hayashi, Nakao 61 Kenig, Carlos Eduardo 60 Dong, Hongjie 60 Wang, Shu 58 Ruzhansky, Michael V. 57 Fan, Jishan 56 Do Ó, João M. Bezerra 56 Dolbeault, Jean 56 Yamamoto, Masahiro 55 Mingione, Giuseppe 55 Perthame, Benoît 55 Zou, Wenming 54 Naumkin, Pavel Ivanovich 54 Röckner, Michael 54 Zuazua, Enrique 53 Byun, Sun-Sig 53 Fang, Daoyuan 53 Masmoudi, Nader 53 Wang, Zhi-Qiang 51 Del Pino, Manuel A. 50 Caffarelli, Luis Ángel 49 Boccardo, Lucio 49 Himonas, A. Alexandrou 49 Lions, Pierre-Louis 49 Xin, Zhouping 49 Yin, Zhaoyang 48 Coclite, Giuseppe Maria 48 Lassas, Matti 48 Pistoia, Angela 47 Nakamura, Gen 47 Peng, Shuangjie 47 Zhao, Huijiang 46 Ambrosio, Vincenzo 46 Lu, Guozhen 46 Miyagaki, Olimpio Hiroshi 46 Sire, Yannick 46 Wu, Jiahong 45 Figueiredo, Giovany Malcher 44 Lasiecka, Irena 44 Miao, Changxing 44 Ozawa, Tohru 44 Ponce, Gustavo 44 Vega, Luis 44 Yao, Zhengan 43 Diaz Diaz, Jesus Ildefonso 43 Shaposhnikov, Stanislav V. 43 Yang, Tong 43 Yin, Jingxue 42 Bogachev, Vladimir Igorevich 42 Chae, Dongho 42 Chen, Gui-Qiang G. 42 Ferreira, Lucas Catão de Freitas 41 Giga, Yoshikazu 41 Wang, Lihe 41 Yang, Dachun 41 Zhu, Changjiang 40 Figalli, Alessio 40 Karlsen, Kenneth Hvistendahl 40 Repovš, Dušan D. 40 Sjöstrand, Johannes 39 Byeon, Jaeyoung 39 Cao, Daomin 39 Li, Yongsheng 39 Titi, Edriss Saleh 39 Zhang, Binlin 39 Zhang, Ping 39 Zhang, Zhifei 38 Cianchi, Andrea 38 Desvillettes, Laurent 38 Garofalo, Nicola 38 Nicola, Fabio 38 Quaas, Alexander 37 Cui, Shangbin 37 Mitrea, Marius 37 Musso, Monica 37 Sawano, Yoshihiro 37 Squassina, Marco 37 Vasseur, Alexis F. 37 Zhang, Jian 36 Ding, Yanheng 36 Dipierro, Serena 36 Duan, Renjun 36 Felmer, Patricio L. ...and 17,395 more Authors all top 5 Cited in 673 Journals 2,488 Journal of Differential Equations 1,830 Journal of Mathematical Analysis and Applications 1,549 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,271 Communications in Partial Differential Equations 887 Journal of Functional Analysis 757 Archive for Rational Mechanics and Analysis 741 Calculus of Variations and Partial Differential Equations 593 Journal of Mathematical Physics 575 Communications in Mathematical Physics 567 Discrete and Continuous Dynamical Systems 535 Transactions of the American Mathematical Society 532 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 449 Journal de Mathématiques Pures et Appliquées. Neuvième Série 401 Proceedings of the American Mathematical Society 397 SIAM Journal on Mathematical Analysis 391 Applicable Analysis 371 Communications on Pure and Applied Analysis 341 ZAMP. Zeitschrift für angewandte Mathematik und Physik 333 Nonlinear Analysis. Theory, Methods & Applications 330 Mathematical Methods in the Applied Sciences 329 Nonlinear Analysis. Real World Applications 300 Advances in Mathematics 281 Annali di Matematica Pura ed Applicata. Serie Quarta 273 Mathematische Annalen 269 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 267 NoDEA. Nonlinear Differential Equations and Applications 266 Comptes Rendus. Mathématique. Académie des Sciences, Paris 246 Applied Mathematics Letters 243 The Journal of Geometric Analysis 222 Communications in Contemporary Mathematics 218 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 200 Journal of Evolution Equations 199 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 188 Computers & Mathematics with Applications 187 Discrete and Continuous Dynamical Systems. Series B 185 Duke Mathematical Journal 182 Boundary Value Problems 175 Applied Mathematics and Computation 171 Journal of Mathematical Sciences (New York) 168 Physica D 163 Acta Applicandae Mathematicae 163 Journal of Mathematical Fluid Mechanics 162 Acta Mathematica Sinica. English Series 161 Potential Analysis 157 Mathematische Zeitschrift 150 Journal d’Analyse Mathématique 146 Communications on Pure and Applied Mathematics 143 Nonlinearity 142 Annales de l’Institut Fourier 142 Science China. Mathematics 138 Complex Variables and Elliptic Equations 137 Advanced Nonlinear Studies 136 Mathematische Nachrichten 135 Journal of Hyperbolic Differential Equations 132 Journal of Computational Physics 129 Applied Mathematics and Optimization 127 Journal of Statistical Physics 126 Journal of Dynamics and Differential Equations 122 Manuscripta Mathematica 119 Annales Henri Poincaré 119 Discrete and Continuous Dynamical Systems. Series S 118 Abstract and Applied Analysis 112 Advances in Nonlinear Analysis 110 Revista Matemática Iberoamericana 109 Inventiones Mathematicae 109 Journal of Computational and Applied Mathematics 107 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 107 SIAM Journal on Control and Optimization 102 Quarterly of Applied Mathematics 97 Chinese Annals of Mathematics. Series B 97 Journal of the European Mathematical Society (JEMS) 92 Journal of Nonlinear Science 87 Stochastic Processes and their Applications 85 The Journal of Fourier Analysis and Applications 83 Acta Mathematicae Applicatae Sinica. English Series 80 Monatshefte für Mathematik 80 Zeitschrift für Analysis und ihre Anwendungen 80 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 80 Journal of Pseudo-Differential Operators and Applications 77 Inverse Problems 76 Numerische Mathematik 75 Mediterranean Journal of Mathematics 74 Mathematics of Computation 74 Kinetic and Related Models 73 Analysis & PDE 72 Rocky Mountain Journal of Mathematics 70 Bulletin des Sciences Mathématiques 69 Proceedings of the Japan Academy. Series A 69 Annales de l’Institut Henri Poincaré. Physique Théorique 67 Integral Equations and Operator Theory 65 Publications of the Research Institute for Mathematical Sciences, Kyoto University 64 SIAM Journal on Applied Mathematics 63 Letters in Mathematical Physics 62 Inverse Problems and Imaging 61 Milan Journal of Mathematics 60 Journal of Scientific Computing 59 Rendiconti del Seminario Matematico della Università di Padova 57 Reviews in Mathematical Physics 57 Bulletin of the American Mathematical Society. New Series 54 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 573 more Journals all top 5 Cited in 62 Fields 27,160 Partial differential equations (35-XX) 5,144 Fluid mechanics (76-XX) 2,342 Global analysis, analysis on manifolds (58-XX) 2,236 Operator theory (47-XX) 1,901 Calculus of variations and optimal control; optimization (49-XX) 1,540 Numerical analysis (65-XX) 1,370 Biology and other natural sciences (92-XX) 1,337 Statistical mechanics, structure of matter (82-XX) 1,334 Quantum theory (81-XX) 1,326 Functional analysis (46-XX) 1,261 Differential geometry (53-XX) 1,224 Probability theory and stochastic processes (60-XX) 1,152 Dynamical systems and ergodic theory (37-XX) 1,067 Mechanics of deformable solids (74-XX) 1,008 Ordinary differential equations (34-XX) 995 Systems theory; control (93-XX) 863 Harmonic analysis on Euclidean spaces (42-XX) 589 Optics, electromagnetic theory (78-XX) 553 Real functions (26-XX) 543 Integral equations (45-XX) 451 Potential theory (31-XX) 382 Several complex variables and analytic spaces (32-XX) 308 Classical thermodynamics, heat transfer (80-XX) 282 Relativity and gravitational theory (83-XX) 277 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 209 Functions of a complex variable (30-XX) 209 Geophysics (86-XX) 205 Mechanics of particles and systems (70-XX) 187 Topological groups, Lie groups (22-XX) 181 Operations research, mathematical programming (90-XX) 173 Measure and integration (28-XX) 155 Abstract harmonic analysis (43-XX) 89 Approximations and expansions (41-XX) 87 Astronomy and astrophysics (85-XX) 84 Difference and functional equations (39-XX) 82 Integral transforms, operational calculus (44-XX) 82 Information and communication theory, circuits (94-XX) 74 Special functions (33-XX) 64 Convex and discrete geometry (52-XX) 52 Number theory (11-XX) 49 Computer science (68-XX) 47 Manifolds and cell complexes (57-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 43 Algebraic geometry (14-XX) 29 General topology (54-XX) 29 Statistics (62-XX) 27 History and biography (01-XX) 24 Combinatorics (05-XX) 23 Nonassociative rings and algebras (17-XX) 19 General and overarching topics; collections (00-XX) 19 \(K\)-theory (19-XX) 18 Algebraic topology (55-XX) 12 Geometry (51-XX) 9 Sequences, series, summability (40-XX) 8 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 2 Commutative algebra (13-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) Citations by Year