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: 2,967 Publications (since 1976) References Indexed: 2,728 Publications with 55,319 References. all top 5 Latest Issues 47, No. 4 (2022) 47, No. 3 (2022) 47, No. 2 (2022) 47, No. 1 (2022) 46, No. 12 (2021) 46, No. 11 (2021) 46, No. 10 (2021) 46, No. 9 (2021) 46, No. 8 (2021) 46, No. 7 (2021) 46, No. 6 (2021) 46, No. 5 (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) ...and 211 more Volumes all top 5 Authors 18 Caffarelli, Luis Ángel 18 Lions, Pierre-Louis 17 Taylor, Michael Eugene 16 Feireisl, Eduard 16 Vazquez, Juan Luis 13 Krylov, Nicolaĭ Vladimirovich 12 Friedman, Avner 12 Helffer, Bernard 12 Kenig, Carlos Eduardo 12 Métivier, Guy 12 Sjöstrand, Johannes 12 Velázquez, Juan J. L. 11 Colombini, Ferruccio 11 Ishii, Hitoshi 11 Tartakoff, David S. 11 Uhlmann, Gunther Alberto 10 Alinhac, Serge 10 Barles, Guy 10 Giga, Yoshikazu 10 Grillakis, Manoussos G. 10 Gutiérrez, Cristian E. 10 Parenti, Cesare 10 Schonbek, Maria Elena 9 Da Prato, Giuseppe 9 Eskin, Gregory 9 Grubb, Gerd 9 Lin, Chang-Shou 9 Masmoudi, Nader 9 Tataru, Daniel 9 Vasy, András 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 Saut, Jean-Claude 7 Schochet, Steven H. 7 Sogge, Christopher D. 7 Valdinoci, Enrico 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 Serre, Denis 6 Silvestre, Luis E. 6 Sire, Yannick 6 Tsai, Tai-Peng 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 ...and 2,795 more Authors all top 5 Fields 2,764 Partial differential equations (35-XX) 339 Fluid mechanics (76-XX) 331 Global analysis, analysis on manifolds (58-XX) 250 Operator theory (47-XX) 163 Quantum theory (81-XX) 142 Calculus of variations and optimal control; optimization (49-XX) 132 Differential geometry (53-XX) 95 Statistical mechanics, structure of matter (82-XX) 82 Functional analysis (46-XX) 72 Probability theory and stochastic processes (60-XX) 68 Dynamical systems and ergodic theory (37-XX) 63 Mechanics of deformable solids (74-XX) 56 Optics, electromagnetic theory (78-XX) 50 Biology and other natural sciences (92-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 46 Several complex variables and analytic spaces (32-XX) 43 Potential theory (31-XX) 43 Integral equations (45-XX) 36 Numerical analysis (65-XX) 34 Systems theory; control (93-XX) 30 Ordinary differential equations (34-XX) 26 Topological groups, Lie groups (22-XX) 26 Relativity and gravitational theory (83-XX) 23 Real functions (26-XX) 20 Abstract harmonic analysis (43-XX) 20 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) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Measure and integration (28-XX) 6 Number theory (11-XX) 6 Convex and discrete geometry (52-XX) 5 Algebraic topology (55-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 2,709 Publications have been cited 50,841 times in 34,803 Documents Cited by ▼ Year ▼ An extension problem related to the fractional Laplacian. Zbl 1143.26002Caffarelli, Luis; Silvestre, Luis 1,281 2007 The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089Otto, Felix 472 2001 A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041Gidas, B.; Spruck, J. 418 1981 Existence and multiplicity results for some superlinear elliptic problems on \(\mathbb{R}^ N\). Zbl 0837.35043Bartsch, Thomas; Wang, Zhi-Qiang 404 1995 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 392 1982 The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028Lieberman, Gary M. 360 1991 Uniform estimates and blow-up behavior for solutions of \(-\Delta{} u =V(x) e^ u\) in two dimensions. Zbl 0746.35006Brézis, Haïm; Merle, Frank 353 1991 Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139Winkler, Michael 352 2010 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 346 1977 \(L^p\) bounds of solutions of reaction-diffusion equations. Zbl 0421.35009Alikakos, Nicholas D. 289 1979 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071Lebeau, G.; Robbiano, L. 287 1995 A chemotaxis system with logistic source. Zbl 1121.37068Tello, J. Ignacio; Winkler, Michael 285 2007 Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192Winkler, Michael 274 2012 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043Boccardo, L.; Gallouet, T. 268 1992 First order quasilinear equations with boundary conditions. Zbl 0418.35024Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C. 262 1979 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071Brézis, Haïm; Wainger, Stephen 246 1980 Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang 241 2004 Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class \((V)_ a\). Zbl 0702.35228Oh, Yonggeun 229 1988 Multiple wells in the semi-classical limit. I. Zbl 0546.35053Helffer, B.; Sjöstrand, J. 222 1984 Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010Zuazua, Enrike 208 1990 On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024Tolksdorf, Peter 207 1983 Nontrivial solution of semilinear elliptic equation with critical exponent in \({\mathbb{R}{}}^ 2\). Zbl 0763.35034Cao, D. M. 202 1992 Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013Stinga, Pablo Raúl; Torrea, José Luis 199 2010 On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun 194 2003 Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068Kozono, Hideo; Yamazaki, Masao 190 1994 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005Duan, Renjun; Lorz, Alexander; Markowich, Peter 185 2010 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 182 1991 A Rellich type identity and applications. Zbl 0816.35027Mitidieri, Enzo 180 1993 Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071Schonbek, Maria E. 179 1986 Elliptic theory of differential edge operators. I. Zbl 0745.58045Mazzeo, Rafe 174 1991 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023Lions, P.-L. 173 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 165 2001 Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050Schaeffer, Jack 162 1991 An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030Craig, Walter 159 1985 Positive solutions of semilinear elliptic systems. Zbl 0818.35027Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E. 156 1992 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 147 2011 Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069García Azorero, J. P.; Peral Alonso, I. 146 1987 Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157Guo, Yan; Wang, Yanjin 143 2012 Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030Hieber, Matthias; Prüss, Jan 141 1997 Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079Krylov, N. V. 139 2007 Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047Taylor, Michael E. 138 1992 Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080Holden, Helge; Raynaud, Xavier 135 2007 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 135 1980 On a singular nonlinear Dirichlet problem. Zbl 0692.35047Coclite, M. M.; Palmieri, G. 130 1989 Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 129 2004 Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071Danchin, Raphaël 127 2001 Regularity criteria for the generalized MHD equations. Zbl 1134.76068Wu, Jiahong 126 2008 Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072Giga, Yoshikazu; Miyakawa, Tetsuro 125 1989 Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110Brenier, Y. 125 2000 Classification of solutions for a system of integral equations. Zbl 1073.45005Chen, Wenxiong; Li, Congming; Ou, Biao 125 2005 On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070Mellet, A.; Vasseur, A. 123 2007 Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021Tataru, Daniel 123 1995 On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012Bogachev, V. I.; Krylov, N. V.; Röckner, M. 119 2001 Wave packets and Fourier integral operators. Zbl 0389.35046Cordoba, Antonio; Fefferman, Charles 119 1978 Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058Schonbek, Maria Elena 118 1982 Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116Gui, Changfeng 117 1996 Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022Adimurthi; Druet, O. 115 2004 Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089Hmidi, T.; Keraani, S.; Rousset, F. 115 2011 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 114 1993 On a class of superlinear elliptic problems. Zbl 0358.35032Brézis, Haïm; Turner, R. E. L. 113 1977 Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 112 2014 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 111 2003 Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084Yang, Tong; Yao, Zheng-an; Zhu, Changjiang 111 2001 A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026Kinnunen, Juha; Zhou, Shulin 107 1999 A damped hyperbolic equation with critical exponent. Zbl 0815.35067Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K. 101 1992 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086Cordier, Stéphane; Grenier, Emmanuel 101 2000 Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051Sideris, Thomas C.; Thomases, Becca; Wang, Dehua 100 2003 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 99 1996 The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245Tao, Terence; Visan, Monica; Zhang, Xiaoyi 98 2007 Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014Barron, E. N.; Jensen, R. 98 1990 Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010Choe, Hi Jun; Kim, Hyunseok 97 2003 Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063Alinhac, S. 96 1989 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 95 2010 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109Desvillettes, Laurent; Villani, Cédric 95 2000 Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023Hörmander, Lars 93 1983 Convexity properties of solutions to some classical variational problems. Zbl 0508.49013Caffarelli, Luis A.; Spruck, Joel 92 1982 An elliptic equation with singular nonlinearity. Zbl 0634.35031Diaz, J. I.; Morel, J. M.; Oswald, L. 89 1987 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 88 1987 \(W^{1,2}_ p\) solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045Bramanti, Marco; Cerutti, M. Christina 87 1993 Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014Smith, Hart F.; Sogge, Christopher D. 87 2000 Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034Mignot, Fulbert; Puel, Jean-Pierre 87 1980 The Kato-Ponce inequality. Zbl 1301.42026Grafakos, Loukas; Oh, Seungly 87 2014 Local existence and uniqueness of solutions of degenerate parabolic equations. Zbl 0738.35033Anderson, Jeffrey R. 86 1991 On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030Iório, Rafael José jun. 86 1986 Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich 86 1994 Recovering a potential from partial Cauchy data. Zbl 0998.35063Bukhgeim, Alexander L.; Uhlmann, Gunther 86 2002 Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301Le Bris, C.; Lions, P.-L. 86 2008 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022Lions, P.-L. 86 1983 Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019Nicolaenko, B.; Scheurer, B.; Temam, R. 85 1989 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 84 1986 Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025Fusco, Nicola; Sbordone, Carlo 84 1993 Almost exponential decay near Maxwellian. Zbl 1096.82010Strain, Robert M.; Guo, Yan 84 2006 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 83 2011 An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024Capogna, Luca; Danielli, Donatella; Garofalo, Nicola 81 1993 On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020Chueshov, Igor; Eller, Matthias; Lasiecka, Irena 81 2002 Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. Zbl 0741.35014Li, Congming 80 1991 Profile of blow-up solutions to mean field equations with singular data. Zbl 1062.35146Bartolucci, Daniele; Chen, Chiun-Chuan; Lin, Chang-Shou; Tarantello, Gabriella 80 2004 The rate at which energy decays in a damped string. Zbl 0818.35072Cox, Steven; Zuazua, Enrique 80 1994 Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions. Zbl 0884.35167Brown, Russell M.; Uhlmann, Gunther A. 80 1997 On a class of doubly nonlinear evolution equations. Zbl 0707.34053Colli, P.; Visintin, A. 77 1990 Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. Zbl 07481873Feng, Yuanyuan; Mazzucato, Anna L. 1 2022 On classical solutions to the mean field game system of controls. 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Zbl 1477.35224Mendez, Argenis J.; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C. 1 2021 A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation. Zbl 1477.35070Caravenna, Laura; Crippa, Gianluca 1 2021 Weak Harnack inequalities for eigenvalues and constant rank theorems. Zbl 07426101Székelyhidi, Gábor; Weinkove, Ben 1 2021 Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Zbl 1478.35162Vasy, András 1 2021 Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations. Zbl 07433740Saut, Jean-Claude; Wang, Yuexun 1 2021 Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus. Zbl 1478.35205Griffin-Pickering, Megan; Iacobelli, Mikaela 1 2021 Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni 1 2021 Global estimates for the Hartree-Fock-Bogoliubov equations. Zbl 1477.35190Chong, Jacky; Grillakis, Manoussos; Machedon, Matei; Zhao, Zehua 1 2021 The \(L^p\) Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system. Zbl 1480.35157Dindoš, Martin 1 2021 Delayed blow-up by transport noise. Zbl 1477.60096Flandoli, Franco; Galeati, Lucio; Luo, Dejun 1 2021 Mean exit time for the overdamped Langevin process: the case with critical points on the boundary. Zbl 1483.31032Nectoux, Boris 1 2021 Long time existence for a two-dimensional strongly dispersive Boussinesq system. Zbl 07433751Saut, Jean-Claude; Xu, Li 1 2021 Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with \(\chi^3\) nonlinear response. Zbl 1479.35761Ardila, Alex H.; Dinh, Van Duong; Forcella, Luigi 1 2021 Threshold scattering for the 2D radial cubic-quintic NLS. Zbl 1477.35245Murphy, Jason 1 2021 An optimization problem in thermal insulation with Robin boundary conditions. Zbl 1477.49021Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina 1 2021 Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360Bradshaw, Zachary; Tsai, Tai-Peng 9 2020 Linear and fully nonlinear elliptic equations with \(L_d\)-drift. Zbl 1460.35141Krylov, Nicolai V. 6 2020 Long time existence of solutions to an elastic flow of networks. Zbl 1460.35036Garcke, Harald; Menzel, Julia; Pluda, Alessandra 6 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 5 2020 Hot spots in convex domains are in the tips (up to an inradius). Zbl 1444.35034Steinerberger, Stefan 5 2020 Nonlocal operators with singular anisotropic kernels. Zbl 07143800Chaker, Jamil; Kassmann, Moritz 5 2020 Free boundary regularity for a multiphase shape optimization problem. Zbl 1430.35279Spolaor, Luca; Trey, Baptiste; Velichkov, Bozhidar 4 2020 Geometric and obstacle scattering at low energy. Zbl 1460.35245Strohmaier, Alexander; Waters, Alden 4 2020 Reconstruction of piecewise constant layered conductivities in electrical impedance tomography. Zbl 1448.35572Garde, Henrik 4 2020 On the energy of critical solutions of the binormal flow. Zbl 1454.35273Banica, Valeria; Vega, Luis 4 2020 On mean curvature flow with forcing. Zbl 1439.35242Kim, Inwon; Kwon, Dohyun 3 2020 On the spectrum of the Schrödinger operator on \(\mathbb{T}^d\): a normal form approach. Zbl 1439.81036Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 3 2020 Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains. Zbl 1471.76022Iftimie, D.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. 3 2020 Mean field games under invariance conditions for the state space. Zbl 1430.35111Porretta, Alessio; Ricciardi, Michele 3 2020 Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics. Zbl 1464.35078Guo, Zongming; Li, Jiayu; Wan, Fangshu 3 2020 Inverse random source problems for time-harmonic acoustic and elastic waves. Zbl 1461.78007Li, Jianliang; Helin, Tapio; Li, Peijun 3 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 3 2020 On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis 3 2020 Solutions with peaks for a coagulation-fragmentation equation. I: Stability of the tails. Zbl 1441.35044Bonacini, Marco; Niethammer, Barbara; Velázquez, Juan J. L. 2 2020 Global weak solutions to the relativistic BGK equation. Zbl 1437.35659Calvo, Juan; Jabin, Pierre-Emmanuel; Soler, Juan 2 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 The fractional Laplacian has infinite dimension. Zbl 1427.35338Spener, Adrian; Weber, Frederic; Zacher, Rico 2 2020 The Hartree and Vlasov equations at positive density. Zbl 1462.35398Lewin, Mathieu; Sabin, Julien 2 2020 Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. Zbl 1459.35233Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola 2 2020 Inverse source problem for a system of wave equations on a Lorentzian manifold. Zbl 1461.35243Takase, Hiroshi 2 2020 On two methods for quantitative unique continuation results for some nonlocal operators. Zbl 1460.35061García-Ferrero, María Ángeles; Rüland, Angkana 2 2020 The Hartree-Fock equations in modulation spaces. Zbl 1448.35420Bhimani, Divyang G.; Grillakis, Manoussos; Okoudjou, Kasso A. 2 2020 Nonlocal dissipation measure and \(L^1\) kinetic theory for fractional conservation laws. Zbl 1448.35536Alibaud, Nathaël; Andreianov, Boris; Ouédraogo, Adama 2 2020 Hamilton-Jacobi in metric spaces with a homological term. Zbl 1452.35066Bessi, Ugo 2 2020 Almost minimizers of the one-phase free boundary problem. Zbl 1452.35006De Silva, D.; Savin, O. 2 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 Entire nodal solutions to the critical Lane-Emden system. Zbl 1437.35257Clapp, Mónica; Saldaña, Alberto 1 2020 The obstacle problem for a fractional Monge-Ampère equation. Zbl 1444.35085Jhaveri, Yash; Stinga, Pablo Raúl 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 Effective multipoles in random media. Zbl 1442.35020Bella, Peter; Giunti, Arianna; Otto, Felix 1 2020 Enhanced dissipation for the 2D Couette flow in critical space. Zbl 1462.35247Masmoudi, Nader; Zhao, Weiren 1 2020 Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations. Zbl 1459.35049Bringmann, Bjoern 1 2020 Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions. Zbl 1462.35239Březina, Jan; Feireisl, Eduard; Novotný, Antonín 1 2020 An analytic construction of singular solutions related to a critical Yamabe problem. Zbl 1464.35119Chan, Hardy; DelaTorre, Azahara 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 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 Some remarks on mean field games. Zbl 1411.91100Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis 16 2019 The Dirichlet problem for the logarithmic Laplacian. Zbl 1423.35390Chen, Huyuan; Weth, Tobias 14 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 14 2019 Inverse problems for quadratic derivative nonlinear wave equations. Zbl 1439.35572Wang, Yiran; Zhou, Ting 12 2019 Localization of eigenfunctions via an effective potential. Zbl 1432.35061Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana 12 2019 On degenerate circular and shear flows: the point vortex and power law circular flows. Zbl 1458.76036Coti Zelati, Michele; Zillinger, Christian 12 2019 Infinitely many Leray-Hopf solutions for the fractional Navier-Stokes equations. Zbl 1416.35183De Rosa, Luigi 11 2019 Existence and concentration results for some fractional Schrödinger equations in \(\mathbb{R}^N\) with magnetic fields. Zbl 1435.35404Ambrosio, Vincenzo 11 2019 Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter 10 2019 The bulk-edge correspondence for continuous honeycomb lattices. Zbl 1428.82009Drouot, Alexis 10 2019 Vanishing contact structure problem and convergence of the viscosity solutions. Zbl 1437.35155Chen, Qinbo; Cheng, Wei; Ishii, Hitoshi; Zhao, Kai 10 2019 A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary. Zbl 1420.35211Hadžić, Mahir; Shkoller, Steve; Speck, Jared 9 2019 A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka 9 2019 Fractional Laplacian with Hardy potential. Zbl 07051869Bogdan, Krzysztof; Grzywny, Tomasz; Jakubowski, Tomasz; Pilarczyk, Dominika 9 2019 ...and 1732 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 18,696 Authors 158 Papageorgiou, Nikolaos S. 143 Wei, Juncheng 113 Rădulescu, Vicenţiu D. 103 Tang, Xianhua 100 Mu, Chunlai 99 Guo, Boling 98 Vazquez, Juan Luis 94 Winkler, Michael 92 Alves, Claudianor Oliveira 86 Feireisl, Eduard 85 Carrillo de la Plata, José Antonio 80 Uhlmann, Gunther Alberto 78 Helffer, Bernard 76 Tan, Zhong 74 Valdinoci, Enrico 64 Dong, Hongjie 64 Ruzhansky, Michael V. 63 Rossi, Julio Daniel 62 Hayashi, Nakao 62 Lin, Chang-Shou 61 Kenig, Carlos Eduardo 61 Wang, Shu 59 Dolbeault, Jean 59 Fan, Jishan 59 Zou, Wenming 58 Do Ó, João M. 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