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: 3,048 Publications (since 1976) References Indexed: 2,809 Publications with 57,943 References. all top 5 Latest Issues 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) 40, No. 5 (2015) 40, No. 4 (2015) ...and 227 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 Grillakis, Manoussos G. 10 Gutiérrez, Cristian E. 10 Parenti, Cesare 10 Schonbek, Maria Elena 9 Da Prato, Giuseppe 9 Grubb, Gerd 9 Koch, Herbert 9 Lin, Chang-Shou 9 Masmoudi, Nader 9 Tataru, Daniel 9 Vasy, András 9 Zuily, Claude 8 Choe, Hi Jun 8 Dong, Hongjie 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 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 5 Berhanu, Shiferaw ...and 2,904 more Authors all top 5 Fields 2,839 Partial differential equations (35-XX) 359 Fluid mechanics (76-XX) 335 Global analysis, analysis on manifolds (58-XX) 253 Operator theory (47-XX) 168 Quantum theory (81-XX) 148 Calculus of variations and optimal control; optimization (49-XX) 135 Differential geometry (53-XX) 100 Statistical mechanics, structure of matter (82-XX) 82 Functional analysis (46-XX) 79 Probability theory and stochastic processes (60-XX) 72 Dynamical systems and ergodic theory (37-XX) 67 Mechanics of deformable solids (74-XX) 58 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) 38 Numerical analysis (65-XX) 33 Systems theory; control (93-XX) 31 Ordinary differential equations (34-XX) 26 Topological groups, Lie groups (22-XX) 26 Relativity and gravitational theory (83-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) 13 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 2,792 Publications have been cited 58,772 times in 39,826 Documents Cited by ▼ Year ▼ An extension problem related to the fractional Laplacian. Zbl 1143.26002Caffarelli, Luis; Silvestre, Luis 1,545 2007 The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089Otto, Felix 561 2001 Existence and multiplicity results for some superlinear elliptic problems on \(\mathbb{R}^ N\). Zbl 0837.35043Bartsch, Thomas; Wang, Zhi-Qiang 486 1995 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 464 1982 A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041Gidas, B.; Spruck, J. 457 1981 Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139Winkler, Michael 456 2010 The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028Lieberman, Gary M. 447 1991 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 406 1977 Uniform estimates and blow-up behavior for solutions of \(-\Delta{} u =V(x) e^ u\) in two dimensions. Zbl 0746.35006Brézis, Haïm; Merle, Frank 395 1991 Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192Winkler, Michael 373 2012 A chemotaxis system with logistic source. Zbl 1121.37068Tello, J. Ignacio; Winkler, Michael 362 2007 \(L^p\) bounds of solutions of reaction-diffusion equations. Zbl 0421.35009Alikakos, Nicholas D. 330 1979 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071Lebeau, G.; Robbiano, L. 326 1995 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043Boccardo, L.; Gallouet, T. 306 1992 First order quasilinear equations with boundary conditions. Zbl 0418.35024Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C. 283 1979 Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang 278 2004 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071Brézis, Haïm; Wainger, Stephen 277 1980 Nontrivial solution of semilinear elliptic equation with critical exponent in \({\mathbb{R}{}}^ 2\). Zbl 0763.35034Cao, D. M. 262 1992 Multiple wells in the semi-classical limit. I. Zbl 0546.35053Helffer, B.; Sjöstrand, J. 246 1984 Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013Stinga, Pablo Raúl; Torrea, José Luis 245 2010 Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class \((V)_ a\). Zbl 0702.35228Oh, Yonggeun 245 1988 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005Duan, Renjun; Lorz, Alexander; Markowich, Peter 240 2010 On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun 235 2003 Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010Zuazua, Enrike 232 1990 On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024Tolksdorf, Peter 220 1983 Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068Kozono, Hideo; Yamazaki, Masao 218 1994 Elliptic theory of differential edge operators. I. Zbl 0745.58045Mazzeo, Rafe 203 1991 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 202 1991 Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071Schonbek, Maria E. 200 1986 A Rellich type identity and applications. Zbl 0816.35027Mitidieri, Enzo 195 1993 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023Lions, P.-L. 193 1983 Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157Guo, Yan; Wang, Yanjin 190 2012 Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050Schaeffer, Jack 183 1991 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 182 2001 Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069García Azorero, J. P.; Peral Alonso, I. 176 1987 Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030Hieber, Matthias; Prüss, Jan 174 1997 An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030Craig, Walter 174 1985 Positive solutions of semilinear elliptic systems. Zbl 0818.35027Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E. 170 1992 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 167 2011 Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047Taylor, Michael E. 162 1992 Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079Krylov, N. V. 160 2007 Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080Holden, Helge; Raynaud, Xavier 151 2007 On a singular nonlinear Dirichlet problem. Zbl 0692.35047Coclite, M. M.; Palmieri, G. 150 1989 Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072Giga, Yoshikazu; Miyakawa, Tetsuro 148 1989 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 146 1980 Classification of solutions for a system of integral equations. Zbl 1073.45005Chen, Wenxiong; Li, Congming; Ou, Biao 146 2005 Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 146 2004 Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 143 2014 Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071Danchin, Raphaël 143 2001 On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070Mellet, A.; Vasseur, A. 141 2007 Regularity criteria for the generalized MHD equations. Zbl 1134.76068Wu, Jiahong 139 2008 Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110Brenier, Y. 138 2000 Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021Tataru, Daniel 136 1995 Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058Schonbek, Maria Elena 130 1982 On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012Bogachev, V. I.; Krylov, N. V.; Röckner, M. 130 2001 Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051Sideris, Thomas C.; Thomases, Becca; Wang, Dehua 130 2003 Wave packets and Fourier integral operators. Zbl 0389.35046Cordoba, Antonio; Fefferman, Charles 130 1978 Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022Adimurthi; Druet, O. 129 2004 Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089Hmidi, T.; Keraani, S.; Rousset, F. 129 2011 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 127 2003 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 127 1993 Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116Gui, Changfeng 122 1996 On a class of superlinear elliptic problems. Zbl 0358.35032Brézis, Haïm; Turner, R. E. L. 122 1977 The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245Tao, Terence; Visan, Monica; Zhang, Xiaoyi 122 2007 Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063Alinhac, S. 122 1989 A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026Kinnunen, Juha; Zhou, Shulin 121 1999 A damped hyperbolic equation with critical exponent. Zbl 0815.35067Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K. 120 1992 Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084Yang, Tong; Yao, Zheng-an; Zhu, Changjiang 117 2001 Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010Choe, Hi Jun; Kim, Hyunseok 116 2003 On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020Chueshov, Igor; Eller, Matthias; Lasiecka, Irena 115 2002 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 112 1996 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 112 2010 The Kato-Ponce inequality. Zbl 1301.42026Grafakos, Loukas; Oh, Seungly 111 2014 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109Desvillettes, Laurent; Villani, Cédric 108 2000 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086Cordier, Stéphane; Grenier, Emmanuel 108 2000 Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014Barron, E. N.; Jensen, R. 107 1990 An elliptic equation with singular nonlinearity. Zbl 0634.35031Diaz, J. I.; Morel, J. M.; Oswald, L. 106 1987 An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024Capogna, Luca; Danielli, Donatella; Garofalo, Nicola 104 1993 Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301Le Bris, C.; Lions, P.-L. 103 2008 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 102 2011 Almost exponential decay near Maxwellian. Zbl 1096.82010Strain, Robert M.; Guo, Yan 99 2006 Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023Hörmander, Lars 98 1983 Recovering a potential from partial Cauchy data. Zbl 0998.35063Bukhgeim, Alexander L.; Uhlmann, Gunther 97 2002 Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014Smith, Hart F.; Sogge, Christopher D. 97 2000 Convexity properties of solutions to some classical variational problems. Zbl 0508.49013Caffarelli, Luis A.; Spruck, Joel 96 1982 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 95 1987 Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich 93 1994 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 93 2009 On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030Iório, Rafael José jun. 93 1986 \(W^{1,2}_ p\) solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045Bramanti, Marco; Cerutti, M. Christina 92 1993 Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025Fusco, Nicola; Sbordone, Carlo 92 1993 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022Lions, P.-L. 92 1983 Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034Mignot, Fulbert; Puel, Jean-Pierre 90 1980 Global uniqueness and stability in determining coefficients of wave equations. Zbl 0985.35108Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 89 2001 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 89 1986 Profile of blow-up solutions to mean field equations with singular data. Zbl 1062.35146Bartolucci, Daniele; Chen, Chiun-Chuan; Lin, Chang-Shou; Tarantello, Gabriella 88 2004 Local existence and uniqueness of solutions of degenerate parabolic equations. Zbl 0738.35033Anderson, Jeffrey R. 88 1991 Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019Nicolaenko, B.; Scheurer, B.; Temam, R. 88 1989 The rate at which energy decays in a damped string. Zbl 0818.35072Cox, Steven; Zuazua, Enrique 87 1994 Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions. Zbl 0884.35167Brown, Russell M.; Uhlmann, Gunther A. 87 1997 The Yang-Mills heat flow with random distributional initial data. Zbl 1512.35011Cao, Sky; Chatterjee, Sourav 4 2023 Filamentation near Hill’s vortex. Zbl 1512.76023Choi, Kyudong; Jeong, In-Jee 3 2023 A transmission problem with \((p, q)\)-Laplacian. Zbl 1512.35333Colombo, Maria; Kim, Sunghan; Shahgholian, Henrik 2 2023 On the motion of a small rigid body in a viscous compressible fluid. Zbl 07715999Feireisl, Eduard; Roy, Arnab; Zarnescu, Arghir 1 2023 Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations. Zbl 1510.35088Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 1 2023 On the blow-up analysis at collapsing poles for solutions of singular Liouville-type equations. Zbl 1512.35179Tarantello, Gabriella 1 2023 Mixed local and nonlocal elliptic operators: regularity and maximum principles. Zbl 1486.35412Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio 32 2022 Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient. Zbl 1491.35071Tello, J. Ignacio 9 2022 Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. Zbl 1489.35014Jiang, Jie; Laurençot, Philippe; Zhang, Yanyan 8 2022 On classical solutions to the mean field game system of controls. Zbl 1492.35353Kobeissi, Ziad 7 2022 Topological invariants for interface modes. Zbl 1496.82022Bal, Guillaume 5 2022 Selection by vanishing common noise for potential finite state mean field games. Zbl 1490.91018Cecchin, Alekos; Delarue, François 5 2022 Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate. Zbl 1492.35374Mazari, Idriss; Nadin, Grégoire; Privat, Yannick 4 2022 Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary. Zbl 1496.35132Hyder, Ali; Segatti, Antonio; Sire, Yannick; Wang, Changyou 4 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 1484.35148Knopf, Patrik; Signori, Andrea 4 2022 Asymptotic stability of solutions to the Navier-Stokes-Fourier system driven by inhomogeneous Dirichlet boundary conditions. Zbl 1504.35316Feireisl, Eduard; Kwon, Young-Sam 3 2022 Optimal relaxation of bump-like solutions of the one-dimensional Cahn-Hilliard equation. Zbl 1491.35031Biesenbach, Sarah; Schubert, Richard; Westdickenberg, Maria G. 3 2022 Remarks on local regularity of axisymmetric solutions to the 3D Navier-Stokes equations. Zbl 1492.35219Chen, Hui; Tsai, Tai-Peng; Zhang, Ting 3 2022 Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. Zbl 1484.35255Feng, Yuanyuan; Mazzucato, Anna L. 3 2022 Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. Zbl 1484.35157Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang 3 2022 Dimension reduction techniques in deterministic mean field games. Zbl 1490.91019Lasry, Jean-Michel; Lions, Pierre-Louis; Seeger, Benjamin 2 2022 Convergence toward the steady state of a collisionless gas with Cercignani-Lampis boundary condition. Zbl 1491.35380Bernou, Armand 2 2022 Sharp convergence rates for Darcy’s law. Zbl 1491.35347Shen, Zhongwei 2 2022 Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. Zbl 1490.35398Carles, Rémi; Su, Chunmei 2 2022 Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations. Zbl 1490.35414Forlano, Justin; Seong, Kihoon 2 2022 Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange. Zbl 1504.35358Mácha, Václav; Muha, Boris; Nečasová, Šárka; Roy, Arnab; Trifunović, Srđan 2 2022 Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits. Zbl 1504.35256Hofmanová, Martina; Koley, Ujjwal; Sarkar, Utsab 2 2022 Spectral flow for pair compatible equipartitions. Zbl 1484.35293Helffer, Bernard; Sundqvist, Mikael Persson 2 2022 Randomized final-state problem for the Zakharov system in dimension three. Zbl 1508.35092Spitz, Martin 2 2022 Carleman estimates and boundedness of associated multiplier operators. Zbl 1487.42024Jeong, Eunhee; Kwon, Yehyun; Lee, Sanghyuk 1 2022 About the wave equation outside two strictly convex obstacles. Zbl 1489.35165Lafontaine, David 1 2022 The master equation in a bounded domain with Neumann conditions. Zbl 1491.91021Ricciardi, Michele 1 2022 The Poisson equation involving surface measures. Zbl 1489.35294Müller, Marius 1 2022 Hyperbolicity, irrationality exponents and the eta invariant. Zbl 1501.58010Savale, Nikhil 1 2022 Hexagonal structures in 2D Navier-Stokes flows. Zbl 1506.35137Brandolese, Lorenzo 1 2022 Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity. Zbl 1491.35006Galanopoulou, Myrto; Vikelis, Andreas; Koumatos, Konstantinos 1 2022 Inhomogeneous global minimizers to the one-phase free boundary problem. Zbl 1491.35134De Silva, Daniela; Jerison, David; Shahgholian, Henrik 1 2022 Fractional Sobolev regularity for fully nonlinear elliptic equations. Zbl 1495.35065Pimentel, Edgard A.; Santos, Makson S.; Teixeira, Eduardo V. 1 2022 Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients. Zbl 1492.76033Dong, Hongjie; Kim, Doyoon; Phan, Tuoc 1 2022 Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation. Zbl 1497.35429de Laire, André; López-Martínez, Salvador 1 2022 Propagation of chaos for the Cucker-Smale systems under heavy tail communication. Zbl 1501.35415Nguyen, Vinh; Shvydkoy, Roman 1 2022 A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients. Zbl 1518.35226Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio 1 2022 Taxis-driven persistent localization in a degenerate Keller-Segel system. Zbl 1505.35045Stevens, Angela; Winkler, Michael 1 2022 The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds. Zbl 1505.35367Hintz, Peter; Uhlmann, Gunther; Zhai, Jian 1 2022 The Hele-Shaw flow as the sharp interface limit of the Cahn-Hilliard equation with disparate mobilities. Zbl 1510.35025Kroemer, Milan; Laux, Tim 1 2022 Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion. Zbl 1484.35030Ciomaga, Adina; Ghilli, Daria; Topp, Erwin 1 2022 Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Zbl 1470.92044Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin 23 2021 On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286Danchin, Raphaël; Tan, Jin 20 2021 On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328Diao, Huaian; Cao, Xinlin; Liu, Hongyu 19 2021 Liouville type theorems and regularity of solutions to degenerate or singular problems. I: Even solutions. Zbl 1471.35152Sire, Yannick; Terracini, Susanna; Vita, Stefano 16 2021 Normalized solutions of mass supercritical Schrödinger equations with potential. Zbl 1496.35183Bartsch, Thomas; Molle, Riccardo; Rizzi, Matteo; Verzini, Gianmaria 16 2021 Mild assumptions for the derivation of Einstein’s effective viscosity formula. Zbl 1469.76131Gérard-Varet, David; Höfer, Richard M. 15 2021 On corner scattering for operators of divergence form and applications to inverse scattering. Zbl 1469.35164Cakoni, Fioralba; Xiao, Jingni 13 2021 Delayed blow-up by transport noise. Zbl 1477.60096Flandoli, Franco; Galeati, Lucio; Luo, Dejun 10 2021 On the Cauchy problem for the Muskat equation with non-Lipschitz initial data. Zbl 1477.35151Alazard, Thomas; Nguyen, Quoc-Hung 10 2021 Determining the magnetic potential in the fractional magnetic Calderón problem. Zbl 1470.35435Li, Li 9 2021 Attractors of the Einstein-Klein-Gordon system. Zbl 1462.35386Fajman, David; Wyatt, Zoe 7 2021 Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows. Zbl 1480.53105Cesaroni, A.; De Luca, L.; Novaga, M.; Ponsiglione, M. 5 2021 A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation. Zbl 1477.35070Caravenna, Laura; Crippa, Gianluca 5 2021 Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Zbl 1478.35161Vasy, András 5 2021 Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus. Zbl 1478.35205Griffin-Pickering, Megan; Iacobelli, Mikaela 5 2021 Short-time existence of the \(\alpha\)-Dirac-harmonic map flow and applications. Zbl 1468.53059Jost, Jürgen; Zhu, Jingyong 5 2021 Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel 4 2021 Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations. Zbl 1490.76046Saut, Jean-Claude; Wang, Yuexun 4 2021 Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021Huang, Xiaoqi; Sogge, Christopher D. 4 2021 Threshold scattering for the 2D radial cubic-quintic NLS. Zbl 1477.35245Murphy, Jason 4 2021 Regularity estimates for the flow of BV autonomous divergence-free vector fields in \(\mathbb{R}^2\). Zbl 1484.37076Bonicatto, Paolo; Marconi, Elio 4 2021 An optimization problem in thermal insulation with Robin boundary conditions. Zbl 1477.49021Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina 4 2021 On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations. Zbl 1491.35117Côte, Raphaël; Friederich, Xavier 4 2021 Stochastic PDEs via convex minimization. Zbl 1460.35403Scarpa, Luca; Stefanelli, Ulisse 3 2021 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244Bucur, Dorin; Henrot, Antoine; Michetti, Marco 3 2021 A class of prescribed Weingarten curvature equations in Euclidean space. Zbl 1479.35503Chen, Li; Shang, Agen; Tu, Qiang 3 2021 On local energy decay for large solutions of the Zakharov-Kuznetsov equation. Zbl 1477.35224Mendez, Argenis J.; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C. 3 2021 Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Zbl 1478.35162Vasy, András 3 2021 The Fuchsian approach to global existence for hyperbolic equations. Zbl 1479.35088Beyer, Florian; Oliynyk, Todd A.; Olvera-Santamaría, J. Arturo 3 2021 Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni 3 2021 The \(L^p\) Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system. Zbl 1480.35157Dindoš, Martin 3 2021 Mean exit time for the overdamped Langevin process: the case with critical points on the boundary. Zbl 1483.31032Nectoux, Boris 3 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 3 2021 Minimal graphs and differential inclusions. Zbl 1470.35103Tione, Riccardo 3 2021 Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary. Zbl 1460.35078Bonnaillie-Noël, Virginie; Dalla Riva, Matteo; Dambrine, Marc; Musolino, Paolo 2 2021 Black hole gluing in de Sitter space. Zbl 1479.83010Hintz, Peter 2 2021 Distance functions with dense singular sets. Zbl 1477.35069Santilli, Mario 2 2021 Weak Harnack inequalities for eigenvalues and constant rank theorems. Zbl 1484.35205Székelyhidi, Gábor; Weinkove, Ben 2 2021 Global estimates for the Hartree-Fock-Bogoliubov equations. Zbl 1477.35190Chong, Jacky; Grillakis, Manoussos; Machedon, Matei; Zhao, Zehua 2 2021 The Cauchy problem for the \(L^2\)-critical generalized Zakharov-Kuznetsov equation in dimension 3. Zbl 1477.35221Linares, Felipe; Ramos, João P. G. 2 2021 A dynamical system approach to a class of radial weighted fully nonlinear equations. Zbl 1472.35121Maia, Liliane; Nornberg, Gabrielle; Pacella, Filomena 2 2021 Recovery of discontinuous Lamé parameters from exterior Cauchy data. Zbl 1470.35430Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther 2 2021 Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients. Zbl 1470.35040Shen, Zhongwei 2 2021 Localisation of the first eigenfunction of a convex domain. Zbl 1466.35271Beck, Thomas 2 2021 The Dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions. Zbl 1467.35130Dong, Hongjie; Li, Zongyuan 2 2021 Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1467.35046Barles, Guy; Quaas, Alexander; Rodríguez-Paredes, Andrei 2 2021 Scaling limits and homogenization of mixing Hamilton-Jacobi equations. Zbl 1460.35023Seeger, Benjamin 1 2021 Regularity of nonvanishing – at infinity or at the boundary – solutions of the defocusing nonlinear Shrödinger equation. Zbl 1461.35197Gialelis, Nikolaos; Karachalios, Nikos I.; Stratis, Ioannis G. 1 2021 Regularized potentials of Schrödinger operators and a local landscape function. Zbl 1487.35200Steinerberger, Stefan 1 2021 Unique continuation through hyperplane for higher order parabolic and Schrödinger equations. Zbl 1477.35051Huang, Tianxiao 1 2021 On gradient estimates for heat kernels. Zbl 1477.35089Devyver, Baptiste 1 2021 Density of zero sets for sums of eigenfunctions. Zbl 1479.35285Decio, Stefano 1 2021 Hidden symmetries in non-self-adjoint graphs. Zbl 07433747Hussein, Amru 1 2021 Long time existence for a two-dimensional strongly dispersive Boussinesq system. Zbl 1496.35325Saut, Jean-Claude; Xu, Li 1 2021 ...and 1738 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 21,140 Authors 180 Papageorgiou, Nikolaos S. 157 Wei, Juncheng 131 Rădulescu, Vicenţiu D. 124 Tang, Xianhua 114 Guo, Boling 114 Winkler, Michael 109 Mu, Chunlai 107 Alves, Claudianor Oliveira 100 Vazquez, Juan Luis 94 Feireisl, Eduard 92 Carrillo de la Plata, José Antonio 91 Uhlmann, Gunther Alberto 86 Valdinoci, Enrico 85 Tan, Zhong 84 Helffer, Bernard 82 Dong, Hongjie 77 Ruzhansky, Michael V. 75 Byun, Sun-Sig 71 Wang, Zhi-Qiang 70 Rossi, Julio Daniel 68 Perthame, Benoît 67 Hayashi, Nakao 66 Wang, Shu 65 Kenig, Carlos Eduardo 65 Lin, Chang-Shou 65 Zou, Wenming 65 Zuazua, Enrique 64 Coclite, Giuseppe Maria 64 Figueiredo, Giovany Malcher 63 Do Ó, João M. Bezerra 63 Masmoudi, Nader 61 Fan, Jishan 61 Röckner, Michael 60 Dolbeault, Jean 60 Lassas, Matti J. 60 Naumkin, Pavel Ivanovich 60 Yamamoto, Masahiro 59 Boccardo, Lucio 59 Lu, Guozhen 59 Tang, Chun-Lei 58 Mingione, Giuseppe 58 Sire, Yannick 58 Yin, Zhaoyang 56 Ambrosio, Vincenzo 56 Pistoia, Angela 56 Yao, Zhengan 55 Caffarelli, Luis Ángel 55 Dipierro, Serena 54 Cao, Daomin 54 Fang, Daoyuan 54 Himonas, A. Alexandrou 54 Miyagaki, Olimpio Hiroshi 54 Peng, Shuangjie 53 Xin, Zhouping 52 Del Pino, Manuel A. 52 Lions, Pierre-Louis 52 Nakamura, Gen 52 Wu, Jiahong 52 Zhang, Zhifei 51 Chae, Dongho 51 Ozawa, Tohru 51 Zheng, Jiashan 50 Díaz Díaz, Jesús Ildefonso 50 Repovš, Dušan D. 49 Garofalo, Nicola 49 Giga, Yoshikazu 49 Kang, Kyungkeun 49 Miao, Changxing 49 Yang, Dachun 49 Zhang, Binlin 48 Bogachev, Vladimir Igorevich 48 Lasiecka, Irena 48 Shaposhnikov, Stanislav V. 48 Vega, Luis 48 Zhao, Huijiang 47 Chen, Gui-Qiang G. 47 Sjöstrand, Johannes 46 da Silva Montenegro, Marcelo 46 Yin, Jingxue 46 Zhang, Ting 45 Cianchi, Andrea 45 Guo, Yuxia 45 Jüngel, Ansgar 45 Karlsen, Kenneth Hvistendahl 45 Titi, Edriss Saleh 45 Yang, Tong 45 Zhang, Jian 45 Zheng, Pan 45 Zheng, Shenzhou 45 Zhu, Changjiang 44 Desvillettes, Laurent 44 Ferreira, Lucas Catão de Freitas 44 Figalli, Alessio 44 Li, Yongsheng 44 Ponce, Gustavo 43 Tao, Youshan 43 Zhang, Ping 42 Chen, Haibo 42 Ogawa, Takayoshi 42 Vasseur, Alexis F. ...and 21,040 more Authors all top 5 Cited in 766 Journals 2,924 Journal of Differential Equations 2,080 Journal of Mathematical Analysis and Applications 1,700 Nonlinear Analysis. 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English Series 95 Monatshefte für Mathematik 95 Stochastic Processes and their Applications 89 Numerische Mathematik 86 Zeitschrift für Analysis und ihre Anwendungen 84 Mathematics of Computation 81 SIAM Journal on Applied Mathematics 80 Rocky Mountain Journal of Mathematics 80 Bulletin des Sciences Mathématiques 76 Evolution Equations and Control Theory 75 Journal of Scientific Computing 75 Inverse Problems and Imaging 73 Topological Methods in Nonlinear Analysis 72 Letters in Mathematical Physics 72 Integral Equations and Operator Theory 71 SN Partial Differential Equations and Applications 70 Reviews in Mathematical Physics 70 Memoirs of the American Mathematical Society ...and 666 more Journals all top 5 Cited in 62 Fields 33,683 Partial differential equations (35-XX) 6,456 Fluid mechanics (76-XX) 2,749 Global analysis, analysis on manifolds (58-XX) 2,679 Operator theory (47-XX) 2,271 Calculus of variations and optimal control; optimization (49-XX) 1,947 Numerical analysis (65-XX) 1,945 Biology and other natural sciences (92-XX) 1,643 Statistical mechanics, structure of matter (82-XX) 1,641 Functional analysis (46-XX) 1,625 Quantum theory (81-XX) 1,582 Probability theory and stochastic processes (60-XX) 1,560 Differential geometry (53-XX) 1,422 Dynamical systems and ergodic theory (37-XX) 1,279 Mechanics of deformable solids (74-XX) 1,220 Systems theory; control (93-XX) 1,110 Harmonic analysis on Euclidean spaces (42-XX) 1,103 Ordinary differential equations (34-XX) 813 Real functions (26-XX) 741 Optics, electromagnetic theory (78-XX) 643 Integral equations (45-XX) 540 Potential theory (31-XX) 450 Several complex variables and analytic spaces (32-XX) 379 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 367 Relativity and gravitational theory (83-XX) 360 Classical thermodynamics, heat transfer (80-XX) 290 Geophysics (86-XX) 266 Functions of a complex variable (30-XX) 238 Mechanics of particles and systems (70-XX) 228 Operations research, mathematical programming (90-XX) 227 Measure and integration (28-XX) 222 Topological groups, Lie groups (22-XX) 192 Abstract harmonic analysis (43-XX) 135 Approximations and expansions (41-XX) 108 Difference and functional equations (39-XX) 101 Special functions (33-XX) 101 Integral transforms, operational calculus (44-XX) 100 Information and communication theory, circuits (94-XX) 98 Astronomy and astrophysics (85-XX) 86 Convex and discrete geometry (52-XX) 80 Computer science (68-XX) 65 Number theory (11-XX) 64 Manifolds and cell complexes (57-XX) 63 Algebraic geometry (14-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 49 Statistics (62-XX) 45 General and overarching topics; collections (00-XX) 40 Combinatorics (05-XX) 38 History and biography (01-XX) 35 General topology (54-XX) 25 Nonassociative rings and algebras (17-XX) 25 Algebraic topology (55-XX) 23 \(K\)-theory (19-XX) 17 Geometry (51-XX) 12 Sequences, series, summability (40-XX) 10 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 Associative rings and algebras (16-XX) 2 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