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: Journal; Indexed cover-to-cover Documents Indexed: 3,057 Publications (since 1976) References Indexed: 2,818 Publications with 58,264 References. all top 5 Latest Issues 49, No. 1-2 (2024) 48, No. 10-12 (2023) 48, No. 9 (2023) 48, No. 7-8 (2023) 48, No. 6 (2023) 48, No. 5 (2023) 48, No. 4 (2023) 48, No. 3 (2023) 48, No. 2 (2023) 48, No. 1 (2023) 47, No. 12 (2022) 47, No. 11 (2022) 47, No. 10 (2022) 47, No. 9 (2022) 47, No. 8 (2022) 47, No. 7 (2022) 47, No. 6 (2022) 47, No. 5 (2022) 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) ...and 229 more Volumes all top 5 Authors 18 Caffarelli, Luis Ángel 18 Feireisl, Eduard 18 Lions, Pierre-Louis 17 Taylor, Michael Eugene 16 Vazquez, Juan Luis 13 Krylov, Nicolaĭ Vladimirovich 13 Velázquez, Juan J. L. 12 Friedman, Avner 12 Helffer, Bernard 12 Kenig, Carlos Eduardo 12 Métivier, Guy 12 Sjöstrand, Johannes 12 Uhlmann, Gunther Alberto 11 Colombini, Ferruccio 11 Ishii, Hitoshi 11 Tartakoff, David S. 10 Alinhac, Serge 10 Barles, Guy 10 Eskin, Gregory 10 Giga, Yoshikazu 10 Gutiérrez, Cristian E. 10 Masmoudi, Nader 10 Parenti, Cesare 10 Schonbek, Maria Elena 9 Da Prato, Giuseppe 9 Grubb, Gerd 9 Koch, Herbert 9 Lin, Chang-Shou 9 Tataru, Daniel 9 Vasy, András 9 Zuily, Claude 8 Choe, Hi Jun 8 Dong, Hongjie 8 Grillakis, Manoussos G. 8 Laurençot, Philippe 8 Li, Tatsien 8 Lieberman, Gary M. 8 Parmeggiani, Alberto 8 Perthame, Benoît 8 Ponce, Gustavo 8 Sá Barreto, Antônio 8 Schochet, Steven H. 8 Sire, Yannick 8 Sogge, Christopher D. 8 Vodev, Georgi 8 Wei, Juncheng 8 Winkler, Michael 7 Bal, Guillaume 7 Carrillo de la Plata, José Antonio 7 Dauge, Monique 7 Desvillettes, Laurent 7 Felmer, Patricio L. 7 Hounie, Jorge G. 7 Isakov, Victor M. 7 Jüngel, Ansgar 7 Lascar, Bernard 7 Nicaise, Serge 7 Raikov, Georgi D. 7 Rauch, Jeffrey B. 7 Roquejoffre, Jean-Michel 7 Saut, Jean-Claude 7 Tsai, Tai-Peng 7 Valdinoci, Enrico 7 Vega, Luis 7 Wang, Zhi-Qiang 7 Zuazua, Enrique 6 Bolley, Pierre 6 Cardoso, Fernando 6 Carles, Rémi 6 Chae, Dongho 6 de Hoop, Maarten V. 6 Delort, Jean-Marc 6 Dolbeault, Jean 6 Escher, Joachim 6 Georgiev, Vladimir S. 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 Röckner, Michael 6 Rothschild, Linda Preiss 6 Ryzhik, Lenya 6 Serre, Denis 6 Silvestre, Luis E. 6 Wang, Changyou 6 Xin, Zhouping 6 Zhang, Ping 6 Zhou, Yi 6 Zhou, Zhengfang 5 Adimurthi, A. 5 Baouendi, Mohammed Salah ...and 2,908 more Authors all top 5 Fields 2,848 Partial differential equations (35-XX) 359 Fluid mechanics (76-XX) 335 Global analysis, analysis on manifolds (58-XX) 252 Operator theory (47-XX) 169 Quantum theory (81-XX) 151 Calculus of variations and optimal control; optimization (49-XX) 137 Differential geometry (53-XX) 101 Statistical mechanics, structure of matter (82-XX) 82 Functional analysis (46-XX) 79 Probability theory and stochastic processes (60-XX) 74 Dynamical systems and ergodic theory (37-XX) 68 Mechanics of deformable solids (74-XX) 59 Optics, electromagnetic theory (78-XX) 57 Biology and other natural sciences (92-XX) 47 Several complex variables and analytic spaces (32-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 45 Potential theory (31-XX) 43 Integral equations (45-XX) 39 Numerical analysis (65-XX) 34 Systems theory; control (93-XX) 32 Ordinary differential equations (34-XX) 28 Relativity and gravitational theory (83-XX) 26 Topological groups, Lie groups (22-XX) 24 Real functions (26-XX) 20 Abstract harmonic analysis (43-XX) 20 Classical thermodynamics, heat transfer (80-XX) 16 Geophysics (86-XX) 15 Functions of a complex variable (30-XX) 15 Mechanics of particles and systems (70-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Measure and integration (28-XX) 10 Difference and functional equations (39-XX) 10 Integral transforms, operational calculus (44-XX) 10 Manifolds and cell complexes (57-XX) 6 Number theory (11-XX) 6 Convex and discrete geometry (52-XX) 5 Algebraic topology (55-XX) 5 Operations research, mathematical programming (90-XX) 4 General topology (54-XX) 3 Special functions (33-XX) 3 Astronomy and astrophysics (85-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Approximations and expansions (41-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 2,822 Publications have been cited 61,773 times in 41,805 Documents Cited by ▼ Year ▼ An extension problem related to the fractional Laplacian. Zbl 1143.26002 Caffarelli, Luis; Silvestre, Luis 1,666 2007 The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089 Otto, Felix 590 2001 Existence and multiplicity results for some superlinear elliptic problems on \(\mathbb{R}^ N\). Zbl 0837.35043 Bartsch, Thomas; Wang, Zhi-Qiang 524 1995 Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139 Winkler, Michael 491 2010 The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028 Lieberman, Gary M. 488 1991 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042 Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 487 1982 A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041 Gidas, B.; Spruck, J. 479 1981 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031 Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 426 1977 Uniform estimates and blow-up behavior for solutions of \(-\Delta{} u =V(x) e^ u\) in two dimensions. Zbl 0746.35006 Brézis, Haïm; Merle, Frank 408 1991 Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192 Winkler, Michael 403 2012 A chemotaxis system with logistic source. Zbl 1121.37068 Tello, J. Ignacio; Winkler, Michael 393 2007 \(L^p\) bounds of solutions of reaction-diffusion equations. Zbl 0421.35009 Alikakos, Nicholas D. 350 1979 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071 Lebeau, G.; Robbiano, L. 343 1995 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043 Boccardo, L.; Gallouet, T. 324 1992 Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399 Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang 300 2004 Nontrivial solution of semilinear elliptic equation with critical exponent in \({\mathbb{R}{}}^ 2\). Zbl 0763.35034 Cao, D. M. 293 1992 First order quasilinear equations with boundary conditions. Zbl 0418.35024 Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C. 291 1979 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071 Brézis, Haïm; Wainger, Stephen 286 1980 Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013 Stinga, Pablo Raúl; Torrea, José Luis 257 2010 Multiple wells in the semi-classical limit. I. Zbl 0546.35053 Helffer, B.; Sjöstrand, J. 256 1984 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005 Duan, Renjun; Lorz, Alexander; Markowich, Peter 255 2010 On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436 Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun 250 2003 Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class \((V)_ a\). Zbl 0702.35228 Oh, Yonggeun 249 1988 Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010 Zuazua, Enrike 247 1990 On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024 Tolksdorf, Peter 229 1983 Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068 Kozono, Hideo; Yamazaki, Masao 228 1994 Microlocal defect measures. Zbl 0770.35001 Gérard, Patrick 212 1991 Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071 Schonbek, Maria E. 210 1986 Elliptic theory of differential edge operators. I. Zbl 0745.58045 Mazzeo, Rafe 209 1991 Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157 Guo, Yan; Wang, Yanjin 207 2012 A Rellich type identity and applications. Zbl 0816.35027 Mitidieri, Enzo 203 1993 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023 Lions, P.-L. 201 1983 On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113 Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas 190 2001 Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050 Schaeffer, Jack 190 1991 Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069 García Azorero, J. P.; Peral Alonso, I. 182 1987 An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030 Craig, Walter 182 1985 Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030 Hieber, Matthias; Prüss, Jan 178 1997 Positive solutions of semilinear elliptic systems. Zbl 0818.35027 Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E. 175 1992 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076 Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 172 2011 Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047 Taylor, Michael E. 169 1992 Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079 Krylov, N. V. 167 2007 Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080 Holden, Helge; Raynaud, Xavier 161 2007 On a singular nonlinear Dirichlet problem. Zbl 0692.35047 Coclite, M. M.; Palmieri, G. 158 1989 Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410 Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 157 2004 Classification of solutions for a system of integral equations. Zbl 1073.45005 Chen, Wenxiong; Li, Congming; Ou, Biao 156 2005 Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481 Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 155 2014 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075 Hess, Peter; Kato, Tosio 153 1980 Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072 Giga, Yoshikazu; Miyakawa, Tetsuro 152 1989 Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071 Danchin, Raphaël 149 2001 On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070 Mellet, A.; Vasseur, A. 147 2007 Regularity criteria for the generalized MHD equations. Zbl 1134.76068 Wu, Jiahong 145 2008 Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110 Brenier, Y. 144 2000 Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021 Tataru, Daniel 144 1995 Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051 Sideris, Thomas C.; Thomases, Becca; Wang, Dehua 139 2003 Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089 Hmidi, T.; Keraani, S.; Rousset, F. 137 2011 Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022 Adimurthi; Druet, O. 136 2004 On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020 Chueshov, Igor; Eller, Matthias; Lasiecka, Irena 135 2002 Wave packets and Fourier integral operators. Zbl 0389.35046 Cordoba, Antonio; Fefferman, Charles 135 1978 Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058 Schonbek, Maria Elena 133 1982 The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245 Tao, Terence; Visan, Monica; Zhang, Xiaoyi 133 2007 Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063 Alinhac, S. 133 1989 On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012 Bogachev, V. I.; Krylov, N. V.; Röckner, M. 132 2001 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042 Li, Yi; Ni, Wei-Ming 131 1993 A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026 Kinnunen, Juha; Zhou, Shulin 130 1999 A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 130 2003 On a class of superlinear elliptic problems. Zbl 0358.35032 Brézis, Haïm; Turner, R. E. L. 129 1977 The Kato-Ponce inequality. Zbl 1301.42026 Grafakos, Loukas; Oh, Seungly 128 2014 Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116 Gui, Changfeng 125 1996 Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084 Yang, Tong; Yao, Zheng-an; Zhu, Changjiang 125 2001 A damped hyperbolic equation with critical exponent. Zbl 0815.35067 Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K. 125 1992 Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010 Choe, Hi Jun; Kim, Hyunseok 121 2003 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189 Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 119 2010 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091 Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 118 1996 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086 Cordier, Stéphane; Grenier, Emmanuel 113 2000 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109 Desvillettes, Laurent; Villani, Cédric 113 2000 An elliptic equation with singular nonlinearity. Zbl 0634.35031 Diaz, J. I.; Morel, J. M.; Oswald, L. 109 1987 An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024 Capogna, Luca; Danielli, Donatella; Garofalo, Nicola 109 1993 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065 Cianchi, Andrea; Maz’ya, Vladimir G. 108 2011 Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014 Barron, E. N.; Jensen, R. 108 1990 Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301 Le Bris, C.; Lions, P.-L. 106 2008 Almost exponential decay near Maxwellian. Zbl 1096.82010 Strain, Robert M.; Guo, Yan 105 2006 Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023 Hörmander, Lars 102 1983 Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014 Smith, Hart F.; Sogge, Christopher D. 101 2000 Convexity properties of solutions to some classical variational problems. Zbl 0508.49013 Caffarelli, Luis A.; Spruck, Joel 100 1982 On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030 Iório, Rafael José jun. 99 1986 Recovering a potential from partial Cauchy data. Zbl 0998.35063 Bukhgeim, Alexander L.; Uhlmann, Gunther 99 2002 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131 Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 98 2009 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040 Weinstein, Michael I. 97 1987 Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079 Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich 96 1994 Global uniqueness and stability in determining coefficients of wave equations. Zbl 0985.35108 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 95 2001 Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025 Fusco, Nicola; Sbordone, Carlo 95 1993 \(W^{1,2}_ p\) solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045 Bramanti, Marco; Cerutti, M. Christina 95 1993 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022 Lions, P.-L. 93 1983 To the reconstruction of a Riemannian manifold via its spectral data (BC- method). Zbl 0812.58094 Belishev, Michael I.; Kurylev, Yaroslav V. 92 1992 The rate at which energy decays in a damped string. Zbl 0818.35072 Cox, Steven; Zuazua, Enrique 92 1994 Upper semicontinuity of attractors for small random perturbations of dynamical systems. Zbl 0917.35169 Caraballo, Tomás; Langa, José A.; Robinson, James C. 91 1998 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022 Weinstein, Michael I. 91 1986 Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034 Mignot, Fulbert; Puel, Jean-Pierre 91 1980 On weak solutions for fluid-rigid structure interaction: Compressible and incompressible models. Zbl 0953.35118 Desjardins, B.; Esteban, M. J. 90 2000 Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019 Nicolaenko, B.; Scheurer, B.; Temam, R. 90 1989 Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system. Zbl 1515.35197 Leslie, Trevor M.; Tan, Changhui 5 2023 The Yang-Mills heat flow with random distributional initial data. Zbl 1512.35011 Cao, Sky; Chatterjee, Sourav 5 2023 Filamentation near Hill’s vortex. Zbl 1512.76023 Choi, Kyudong; Jeong, In-Jee 4 2023 A transmission problem with \((p, q)\)-Laplacian. Zbl 1512.35333 Colombo, Maria; Kim, Sunghan; Shahgholian, Henrik 3 2023 A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation. Zbl 1528.35168 Rout, Andrew; Sohinger, Vedran 2 2023 Synchronization in a Kuramoto mean field game. Zbl 1527.35427 Carmona, Rene; Cormier, Quentin; Soner, H. Mete 2 2023 Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications. Zbl 1515.35227 Cacciafesta, Federico; Séré, Éric; Zhang, Junyong 2 2023 Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit. Zbl 1518.35159 David, Noemi 2 2023 A Hamilton-Jacobi approach to evolution of dispersal. Zbl 1510.35026 Lam, King-Yeung; Lou, Yuan; Perthame, Benoît 2 2023 Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations. Zbl 1510.35088 Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 2 2023 Recovery of a spatially-dependent coefficient from the NLS scattering map. Zbl 1528.35166 Murphy, Jason 1 2023 Asymptotics and scattering for wave Klein-Gordon systems. Zbl 1528.35146 Chen, Xuantao; Lindblad, Hans 1 2023 A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory. Zbl 1526.35084 Donninger, Roland; Ostermann, Matthias 1 2023 Propagation of velocity moments and uniqueness for the magnetized Vlasov-Poisson system. Zbl 07702172 Rege, Alexandre 1 2023 Analysis of the generalized Aw-Rascle model. Zbl 1523.35242 Chaudhuri, Nilasis; Gwiazda, Piotr; Zatorska, Ewelina 1 2023 Stable discontinuous stationary solutions to reaction-diffusion-ODE systems. Zbl 1518.35063 Cygan, Szymon; Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako 1 2023 On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case. Zbl 1518.35227 Capuzzo Dolcetta, Italo; Davini, Andrea 1 2023 Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group. Zbl 1518.35601 Cassano, Biagio; Franceschi, Valentina; Krejčiřík, David; Prandi, Dario 1 2023 On the motion of a small rigid body in a viscous compressible fluid. Zbl 07715999 Feireisl, Eduard; Roy, Arnab; Zarnescu, Arghir 1 2023 On the blow-up analysis at collapsing poles for solutions of singular Liouville-type equations. Zbl 1512.35179 Tarantello, Gabriella 1 2023 Mixed local and nonlocal elliptic operators: regularity and maximum principles. Zbl 1486.35412 Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio 41 2022 Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient. Zbl 1491.35071 Tello, J. Ignacio 12 2022 Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. Zbl 1489.35014 Jiang, Jie; Laurençot, Philippe; Zhang, Yanyan 10 2022 On classical solutions to the mean field game system of controls. Zbl 1492.35353 Kobeissi, Ziad 9 2022 Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate. Zbl 1492.35374 Mazari, Idriss; Nadin, Grégoire; Privat, Yannick 8 2022 Topological invariants for interface modes. Zbl 1496.82022 Bal, Guillaume 8 2022 Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms. Zbl 1484.35148 Knopf, Patrik; Signori, Andrea 8 2022 Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. Zbl 1484.35255 Feng, Yuanyuan; Mazzucato, Anna L. 7 2022 Selection by vanishing common noise for potential finite state mean field games. Zbl 1490.91018 Cecchin, Alekos; Delarue, François 6 2022 Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary. Zbl 1496.35132 Hyder, Ali; Segatti, Antonio; Sire, Yannick; Wang, Changyou 5 2022 Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. Zbl 1490.35398 Carles, Rémi; Su, Chunmei 4 2022 Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations. Zbl 1490.35414 Forlano, Justin; Seong, Kihoon 4 2022 The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds. Zbl 1505.35367 Hintz, Peter; Uhlmann, Gunther; Zhai, Jian 4 2022 The Hele-Shaw flow as the sharp interface limit of the Cahn-Hilliard equation with disparate mobilities. Zbl 1510.35025 Kroemer, Milan; Laux, Tim 4 2022 Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange. Zbl 1504.35358 Mácha, Václav; Muha, Boris; Nečasová, Šárka; Roy, Arnab; Trifunović, Srđan 4 2022 Remarks on local regularity of axisymmetric solutions to the 3D Navier-Stokes equations. Zbl 1492.35219 Chen, Hui; Tsai, Tai-Peng; Zhang, Ting 4 2022 Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits. Zbl 1504.35256 Hofmanová, Martina; Koley, Ujjwal; Sarkar, Utsab 4 2022 Sharp convergence rates for Darcy’s law. Zbl 1491.35347 Shen, Zhongwei 3 2022 Asymptotic stability of solutions to the Navier-Stokes-Fourier system driven by inhomogeneous Dirichlet boundary conditions. Zbl 1504.35316 Feireisl, Eduard; Kwon, Young-Sam 3 2022 Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. Zbl 1484.35157 Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang 3 2022 Optimal relaxation of bump-like solutions of the one-dimensional Cahn-Hilliard equation. Zbl 1491.35031 Biesenbach, Sarah; Schubert, Richard; Westdickenberg, Maria G. 3 2022 Dimension reduction techniques in deterministic mean field games. Zbl 1490.91019 Lasry, Jean-Michel; Lions, Pierre-Louis; Seeger, Benjamin 2 2022 Convergence toward the steady state of a collisionless gas with Cercignani-Lampis boundary condition. Zbl 1491.35380 Bernou, Armand 2 2022 Carleman estimates and boundedness of associated multiplier operators. Zbl 1487.42024 Jeong, Eunhee; Kwon, Yehyun; Lee, Sanghyuk 2 2022 Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity. Zbl 1491.35006 Galanopoulou, Myrto; Vikelis, Andreas; Koumatos, Konstantinos 2 2022 Inhomogeneous global minimizers to the one-phase free boundary problem. Zbl 1491.35134 De Silva, Daniela; Jerison, David; Shahgholian, Henrik 2 2022 Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients. Zbl 1492.76033 Dong, Hongjie; Kim, Doyoon; Phan, Tuoc 2 2022 Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation. Zbl 1497.35429 de Laire, André; López-Martínez, Salvador 2 2022 Propagation of chaos for the Cucker-Smale systems under heavy tail communication. Zbl 1501.35415 Nguyen, Vinh; Shvydkoy, Roman 2 2022 Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion. Zbl 1484.35030 Ciomaga, Adina; Ghilli, Daria; Topp, Erwin 2 2022 Spectral flow for pair compatible equipartitions. Zbl 1484.35293 Helffer, Bernard; Sundqvist, Mikael Persson 2 2022 Randomized final-state problem for the Zakharov system in dimension three. Zbl 1508.35092 Spitz, Martin 2 2022 Global Strichartz estimates for an inhomogeneous Maxwell system. Zbl 1490.35474 D’Ancona, Piero; Schnaubelt, Roland 2 2022 About the wave equation outside two strictly convex obstacles. Zbl 1489.35165 Lafontaine, David 1 2022 The master equation in a bounded domain with Neumann conditions. Zbl 1491.91021 Ricciardi, Michele 1 2022 The Poisson equation involving surface measures. Zbl 1489.35294 Müller, Marius 1 2022 Hyperbolicity, irrationality exponents and the eta invariant. Zbl 1501.58010 Savale, Nikhil 1 2022 Hexagonal structures in 2D Navier-Stokes flows. Zbl 1506.35137 Brandolese, Lorenzo 1 2022 Spectral theory for Maxwell’s equations at the interface of a metamaterial. II: Limiting absorption, limiting amplitude principles and interface resonance. Zbl 1495.35166 Cassier, Maxence; Hazard, Christophe; Joly, Patrick 1 2022 Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. Zbl 1492.35141 De Nitti, Nicola; Fischer, Julian 1 2022 Dirichlet problem for weakly harmonic maps with rough data. Zbl 1492.35105 Yomgne, Gael Diebou; Koch, Herbert 1 2022 Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces. Zbl 1506.35062 Pistoia, Angela; Vaira, Giusi 1 2022 On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds. Zbl 1506.35166 Lamy, Xavier; Lorent, Andrew; Peng, Guanying 1 2022 Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow. Zbl 1505.35376 Pappalettera, Umberto 1 2022 Taxis-driven persistent localization in a degenerate Keller-Segel system. Zbl 1505.35045 Stevens, Angela; Winkler, Michael 1 2022 Fractional Sobolev regularity for fully nonlinear elliptic equations. Zbl 1495.35065 Pimentel, Edgard A.; Santos, Makson S.; Teixeira, Eduardo V. 1 2022 A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients. Zbl 1518.35226 Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio 1 2022 Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown. Zbl 1484.35154 Ishii, Hitoshi; Wang, Kaizhi; Wang, Lin; Yan, Jun 1 2022 On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. 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Zbl 1479.35088 Beyer, Florian; Oliynyk, Todd A.; Olvera-Santamaría, J. Arturo 4 2021 Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150 Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni 4 2021 Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021 Huang, Xiaoqi; Sogge, Christopher D. 4 2021 Threshold scattering for the 2D radial cubic-quintic NLS. Zbl 1477.35245 Murphy, Jason 4 2021 Regularity estimates for the flow of BV autonomous divergence-free vector fields in \(\mathbb{R}^2\). Zbl 1484.37076 Bonicatto, Paolo; Marconi, Elio 4 2021 Stochastic PDEs via convex minimization. Zbl 1460.35403 Scarpa, Luca; Stefanelli, Ulisse 4 2021 Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278 Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel 4 2021 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244 Bucur, Dorin; Henrot, Antoine; Michetti, Marco 4 2021 ...and 1758 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 22,039 Authors 193 Papageorgiou, Nikolaos S. 161 Wei, Juncheng 138 Rădulescu, Vicenţiu D. 129 Tang, Xianhua 119 Guo, Boling 116 Winkler, Michael 111 Alves, Claudianor Oliveira 110 Mu, Chunlai 101 Vazquez, Juan Luis 98 Feireisl, Eduard 97 Uhlmann, Gunther Alberto 95 Carrillo de la Plata, José Antonio 90 Valdinoci, Enrico 85 Tan, Zhong 84 Helffer, Bernard 84 Ruzhansky, Michael V. 83 Dong, Hongjie 81 Byun, Sun-Sig 75 Rossi, Julio Daniel 72 Wang, Zhi-Qiang 71 Figueiredo, Giovany Malcher 71 Perthame, Benoît 68 Coclite, Giuseppe Maria 68 Zou, Wenming 67 Hayashi, Nakao 67 Kenig, Carlos Eduardo 67 Wang, Shu 66 Do Ó, João M. Bezerra 66 Zuazua, Enrique 65 Lin, Chang-Shou 64 Masmoudi, Nader 64 Yamamoto, Masahiro 63 Boccardo, Lucio 63 Fan, Jishan 63 Röckner, Michael 62 Dolbeault, Jean 62 Lassas, Matti J. 62 Tang, Chun-Lei 62 Yin, Zhaoyang 61 Lu, Guozhen 60 Dipierro, Serena 60 Naumkin, Pavel Ivanovich 59 Ambrosio, Vincenzo 59 Mingione, Giuseppe 59 Sire, Yannick 58 Pistoia, Angela 58 Yao, Zhengan 56 Cao, Daomin 55 Caffarelli, Luis Ángel 55 Himonas, A. Alexandrou 55 Miyagaki, Olimpio Hiroshi 55 Peng, Shuangjie 55 Xin, Zhouping 55 Zhang, Binlin 54 Fang, Daoyuan 54 Nakamura, Gen 54 Wu, Jiahong 54 Zhang, Zhifei 53 Chae, Dongho 53 Díaz Díaz, Jesús Ildefonso 53 Lions, Pierre-Louis 53 Zheng, Jiashan 52 Ozawa, Tohru 52 Repovš, Dušan D. 52 Yang, Dachun 51 Del Pino, Manuel A. 51 Kang, Kyungkeun 50 Liu, Hongyu 50 Vega, Luis 50 Zhang, Ping 49 Bogachev, Vladimir Igorevich 49 Garofalo, Nicola 49 Giga, Yoshikazu 49 Karlsen, Kenneth Hvistendahl 49 Lasiecka, Irena 49 Miao, Changxing 49 Shaposhnikov, Stanislav V. 48 Guo, Yuxia 48 Sjöstrand, Johannes 48 Zhang, Ting 48 Zhao, Huijiang 48 Zheng, Shenzhou 47 Chen, Gui-Qiang G. 47 Yin, Jingxue 47 Zhang, Jian 47 Zheng, Pan 46 Chen, Haibo 46 Ferreira, Lucas Catão de Freitas 46 Figalli, Alessio 46 Jüngel, Ansgar 46 da Silva Montenegro, Marcelo 46 Titi, Edriss Saleh 46 Yang, Tong 46 Zhu, Changjiang 45 Cianchi, Andrea 45 Li, Yongsheng 45 Ponce, Gustavo 45 Shahgholian, Henrik 44 Desvillettes, Laurent 44 Di Ruvo, Lorenzo ...and 21,939 more Authors all top 5 Cited in 784 Journals 2,980 Journal of Differential Equations 2,107 Journal of Mathematical Analysis and Applications 1,725 Nonlinear Analysis. 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English Series 103 The Journal of Fourier Analysis and Applications 102 Monatshefte für Mathematik 101 Stochastic Processes and their Applications 92 Numerische Mathematik 90 SIAM Journal on Applied Mathematics 90 Inverse Problems and Imaging 88 Zeitschrift für Analysis und ihre Anwendungen 85 Mathematics of Computation 85 Journal of Scientific Computing 84 Topological Methods in Nonlinear Analysis 83 Rocky Mountain Journal of Mathematics 83 Bulletin des Sciences Mathématiques 81 Evolution Equations and Control Theory 80 Mathematics in Engineering 79 SN Partial Differential Equations and Applications 77 Letters in Mathematical Physics 74 Journal of Elliptic and Parabolic Equations 72 Integral Equations and Operator Theory ...and 684 more Journals all top 5 Cited in 62 Fields 35,470 Partial differential equations (35-XX) 6,831 Fluid mechanics (76-XX) 2,844 Global analysis, analysis on manifolds (58-XX) 2,807 Operator theory (47-XX) 2,371 Calculus of variations and optimal control; optimization (49-XX) 2,081 Biology and other natural sciences (92-XX) 2,051 Numerical analysis (65-XX) 1,718 Statistical mechanics, structure of matter (82-XX) 1,717 Functional analysis (46-XX) 1,695 Quantum theory (81-XX) 1,675 Probability theory and stochastic processes (60-XX) 1,655 Differential geometry (53-XX) 1,499 Dynamical systems and ergodic theory (37-XX) 1,360 Mechanics of deformable solids (74-XX) 1,286 Systems theory; control (93-XX) 1,173 Harmonic analysis on Euclidean spaces (42-XX) 1,150 Ordinary differential equations (34-XX) 866 Real functions (26-XX) 804 Optics, electromagnetic theory (78-XX) 666 Integral equations (45-XX) 558 Potential theory (31-XX) 467 Several complex variables and analytic spaces (32-XX) 396 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 386 Relativity and gravitational theory (83-XX) 380 Classical thermodynamics, heat transfer (80-XX) 310 Geophysics (86-XX) 282 Functions of a complex variable (30-XX) 250 Mechanics of particles and systems (70-XX) 245 Operations research, mathematical programming (90-XX) 237 Measure and integration (28-XX) 232 Topological groups, Lie groups (22-XX) 199 Abstract harmonic analysis (43-XX) 153 Approximations and expansions (41-XX) 119 Difference and functional equations (39-XX) 108 Integral transforms, operational calculus (44-XX) 108 Information and communication theory, circuits (94-XX) 107 Astronomy and astrophysics (85-XX) 104 Special functions (33-XX) 89 Convex and discrete geometry (52-XX) 87 Computer science (68-XX) 67 Number theory (11-XX) 66 Algebraic geometry (14-XX) 66 Manifolds and cell complexes (57-XX) 60 Linear and multilinear algebra; matrix theory (15-XX) 54 Statistics (62-XX) 48 General and overarching topics; collections (00-XX) 45 Combinatorics (05-XX) 41 History and biography (01-XX) 34 General topology (54-XX) 28 Nonassociative rings and algebras (17-XX) 26 Algebraic topology (55-XX) 25 \(K\)-theory (19-XX) 19 Geometry (51-XX) 14 Sequences, series, summability (40-XX) 10 Group theory and generalizations (20-XX) 5 Mathematical logic and foundations (03-XX) 5 Associative rings and algebras (16-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX) Citations by Year