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: 3,010 Publications (since 1976) References Indexed: 2,771 Publications with 56,721 References. all top 5 Latest Issues 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) 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) ...and 219 more Volumes all top 5 Authors 18 Caffarelli, Luis Ángel 18 Lions, Pierre-Louis 17 Feireisl, Eduard 17 Taylor, Michael Eugene 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 Uhlmann, Gunther Alberto 12 Velázquez, Juan J. L. 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 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 Isakov, Victor M. 7 Lascar, Bernard 7 Nicaise, Serge 7 Perthame, Benoît 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 Delort, Jean-Marc 6 Dolbeault, Jean 6 Escher, Joachim 6 Holden, Helge 6 Jüngel, Ansgar 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 Wang, Changyou 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 Carles, Rémi 5 Chanillo, Sagun ...and 2,855 more Authors all top 5 Fields 2,804 Partial differential equations (35-XX) 352 Fluid mechanics (76-XX) 335 Global analysis, analysis on manifolds (58-XX) 251 Operator theory (47-XX) 164 Quantum theory (81-XX) 145 Calculus of variations and optimal control; optimization (49-XX) 133 Differential geometry (53-XX) 98 Statistical mechanics, structure of matter (82-XX) 82 Functional analysis (46-XX) 76 Probability theory and stochastic processes (60-XX) 71 Dynamical systems and ergodic theory (37-XX) 66 Mechanics of deformable solids (74-XX) 58 Optics, electromagnetic theory (78-XX) 54 Biology and other natural sciences (92-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 46 Several complex variables and analytic spaces (32-XX) 45 Potential theory (31-XX) 43 Integral equations (45-XX) 37 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) 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) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Difference and functional equations (39-XX) 10 Integral transforms, operational calculus (44-XX) 10 Manifolds and cell complexes (57-XX) 9 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) 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 2,740 Publications have been cited 54,580 times in 37,010 Documents Cited by ▼ Year ▼ An extension problem related to the fractional Laplacian. Zbl 1143.26002Caffarelli, Luis; Silvestre, Luis 1,429 2007 The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089Otto, Felix 518 2001 Existence and multiplicity results for some superlinear elliptic problems on \(\mathbb{R}^ N\). Zbl 0837.35043Bartsch, Thomas; Wang, Zhi-Qiang 444 1995 A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041Gidas, B.; Spruck, J. 441 1981 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 427 1982 The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028Lieberman, Gary M. 404 1991 Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139Winkler, Michael 404 2010 Uniform estimates and blow-up behavior for solutions of \(-\Delta{} u =V(x) e^ u\) in two dimensions. Zbl 0746.35006Brézis, Haïm; Merle, Frank 378 1991 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 373 1977 A chemotaxis system with logistic source. Zbl 1121.37068Tello, J. Ignacio; Winkler, Michael 330 2007 Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192Winkler, Michael 316 2012 \(L^p\) bounds of solutions of reaction-diffusion equations. Zbl 0421.35009Alikakos, Nicholas D. 310 1979 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071Lebeau, G.; Robbiano, L. 303 1995 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043Boccardo, L.; Gallouet, T. 286 1992 First order quasilinear equations with boundary conditions. Zbl 0418.35024Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C. 271 1979 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071Brézis, Haïm; Wainger, Stephen 261 1980 Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang 258 2004 Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class \((V)_ a\). Zbl 0702.35228Oh, Yonggeun 237 1988 Multiple wells in the semi-classical limit. I. Zbl 0546.35053Helffer, B.; Sjöstrand, J. 234 1984 Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013Stinga, Pablo Raúl; Torrea, José Luis 228 2010 Nontrivial solution of semilinear elliptic equation with critical exponent in \({\mathbb{R}{}}^ 2\). Zbl 0763.35034Cao, D. M. 227 1992 Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010Zuazua, Enrike 222 1990 On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun 220 2003 On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024Tolksdorf, Peter 214 1983 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005Duan, Renjun; Lorz, Alexander; Markowich, Peter 211 2010 Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068Kozono, Hideo; Yamazaki, Masao 201 1994 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 193 1991 Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071Schonbek, Maria E. 191 1986 Elliptic theory of differential edge operators. I. Zbl 0745.58045Mazzeo, Rafe 190 1991 A Rellich type identity and applications. Zbl 0816.35027Mitidieri, Enzo 185 1993 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023Lions, P.-L. 184 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 172 2001 Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050Schaeffer, Jack 168 1991 Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157Guo, Yan; Wang, Yanjin 167 2012 An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030Craig, Walter 167 1985 Positive solutions of semilinear elliptic systems. Zbl 0818.35027Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E. 162 1992 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 158 2011 Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069García Azorero, J. P.; Peral Alonso, I. 158 1987 Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047Taylor, Michael E. 151 1992 Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030Hieber, Matthias; Prüss, Jan 151 1997 Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079Krylov, N. V. 150 2007 Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080Holden, Helge; Raynaud, Xavier 145 2007 On a singular nonlinear Dirichlet problem. Zbl 0692.35047Coclite, M. M.; Palmieri, G. 140 1989 Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 139 2004 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 139 1980 Classification of solutions for a system of integral equations. Zbl 1073.45005Chen, Wenxiong; Li, Congming; Ou, Biao 138 2005 Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071Danchin, Raphaël 136 2001 Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072Giga, Yoshikazu; Miyakawa, Tetsuro 135 1989 Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110Brenier, Y. 133 2000 On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070Mellet, A.; Vasseur, A. 131 2007 Regularity criteria for the generalized MHD equations. Zbl 1134.76068Wu, Jiahong 131 2008 Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021Tataru, Daniel 129 1995 Wave packets and Fourier integral operators. Zbl 0389.35046Cordoba, Antonio; Fefferman, Charles 125 1978 Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089Hmidi, T.; Keraani, S.; Rousset, F. 125 2011 Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058Schonbek, Maria Elena 125 1982 Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 124 2014 On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012Bogachev, V. I.; Krylov, N. V.; Röckner, M. 123 2001 Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022Adimurthi; Druet, O. 122 2004 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 122 1993 A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 121 2003 Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116Gui, Changfeng 117 1996 A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026Kinnunen, Juha; Zhou, Shulin 117 1999 On a class of superlinear elliptic problems. Zbl 0358.35032Brézis, Haïm; Turner, R. E. L. 116 1977 Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051Sideris, Thomas C.; Thomases, Becca; Wang, Dehua 115 2003 Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084Yang, Tong; Yao, Zheng-an; Zhu, Changjiang 114 2001 A damped hyperbolic equation with critical exponent. Zbl 0815.35067Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K. 111 1992 Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010Choe, Hi Jun; Kim, Hyunseok 107 2003 The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245Tao, Terence; Visan, Monica; Zhang, Xiaoyi 107 2007 Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063Alinhac, S. 105 1989 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 104 1996 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086Cordier, Stéphane; Grenier, Emmanuel 103 2000 Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014Barron, E. N.; Jensen, R. 103 1990 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 103 2010 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109Desvillettes, Laurent; Villani, Cédric 101 2000 An elliptic equation with singular nonlinearity. Zbl 0634.35031Diaz, J. I.; Morel, J. M.; Oswald, L. 99 1987 The Kato-Ponce inequality. Zbl 1301.42026Grafakos, Loukas; Oh, Seungly 98 2014 On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020Chueshov, Igor; Eller, Matthias; Lasiecka, Irena 97 2002 An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024Capogna, Luca; Danielli, Donatella; Garofalo, Nicola 96 1993 Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023Hörmander, Lars 95 1983 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 93 2011 Convexity properties of solutions to some classical variational problems. Zbl 0508.49013Caffarelli, Luis A.; Spruck, Joel 93 1982 Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301Le Bris, C.; Lions, P.-L. 92 2008 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 92 1987 \(W^{1,2}_ p\) solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045Bramanti, Marco; Cerutti, M. Christina 91 1993 Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich 91 1994 Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014Smith, Hart F.; Sogge, Christopher D. 91 2000 Almost exponential decay near Maxwellian. Zbl 1096.82010Strain, Robert M.; Guo, Yan 91 2006 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022Lions, P.-L. 90 1983 Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025Fusco, Nicola; Sbordone, Carlo 90 1993 Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034Mignot, Fulbert; Puel, Jean-Pierre 89 1980 Recovering a potential from partial Cauchy data. Zbl 0998.35063Bukhgeim, Alexander L.; Uhlmann, Gunther 89 2002 Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019Nicolaenko, B.; Scheurer, B.; Temam, R. 88 1989 On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030Iório, Rafael José jun. 88 1986 Local existence and uniqueness of solutions of degenerate parabolic equations. Zbl 0738.35033Anderson, Jeffrey R. 87 1991 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 86 2009 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 86 1986 Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. Zbl 0741.35014Li, Congming 85 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 83 2004 The rate at which energy decays in a damped string. Zbl 0818.35072Cox, Steven; Zuazua, Enrique 82 1994 On weak solutions for fluid-rigid structure interaction: Compressible and incompressible models. Zbl 0953.35118Desjardins, B.; Esteban, M. J. 82 2000 Mixed local and nonlocal elliptic operators: regularity and maximum principles. Zbl 1486.35412Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio 9 2022 On classical solutions to the mean field game system of controls. Zbl 1492.35353Kobeissi, Ziad 4 2022 Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient. Zbl 1491.35071Tello, J. Ignacio 3 2022 Spectral flow for pair compatible equipartitions. Zbl 1484.35293Helffer, Bernard; Sundqvist, Mikael Persson 2 2022 Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. Zbl 1484.35255Feng, Yuanyuan; Mazzucato, Anna L. 2 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 2 2022 Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. 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Zbl 1496.35183Bartsch, Thomas; Molle, Riccardo; Rizzi, Matteo; Verzini, Gianmaria 8 2021 On the Cauchy problem for the Muskat equation with non-Lipschitz initial data. Zbl 1477.35151Alazard, Thomas; Nguyen, Quoc-Hung 7 2021 Mild assumptions for the derivation of Einstein’s effective viscosity formula. Zbl 1469.76131Gérard-Varet, David; Höfer, Richard M. 6 2021 Determining the magnetic potential in the fractional magnetic Calderón problem. Zbl 1470.35435Li, Li 6 2021 Attractors of the Einstein-Klein-Gordon system. Zbl 1462.35386Fajman, David; Wyatt, Zoe 5 2021 Short-time existence of the \(\alpha\)-Dirac-harmonic map flow and applications. Zbl 1468.53059Jost, Jürgen; Zhu, Jingyong 4 2021 Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel 4 2021 Delayed blow-up by transport noise. Zbl 1477.60096Flandoli, Franco; Galeati, Lucio; Luo, Dejun 4 2021 Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus. Zbl 1478.35205Griffin-Pickering, Megan; Iacobelli, Mikaela 3 2021 Mean exit time for the overdamped Langevin process: the case with critical points on the boundary. Zbl 1483.31032Nectoux, Boris 3 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 Recovery of discontinuous Lamé parameters from exterior Cauchy data. Zbl 1470.35430Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther 2 2021 Minimal graphs and differential inclusions. Zbl 1470.35103Tione, Riccardo 2 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 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244Bucur, Dorin; Henrot, Antoine; Michetti, Marco 2 2021 A class of prescribed Weingarten curvature equations in Euclidean space. Zbl 1479.35503Chen, Li; Shang, Agen; Tu, Qiang 2 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. 2 2021 Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Zbl 1478.35161Vasy, András 2 2021 Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni 2 2021 Global estimates for the Hartree-Fock-Bogoliubov equations. Zbl 1477.35190Chong, Jacky; Grillakis, Manoussos; Machedon, Matei; Zhao, Zehua 2 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 2 2021 An optimization problem in thermal insulation with Robin boundary conditions. Zbl 1477.49021Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina 2 2021 A dynamical system approach to a class of radial weighted fully nonlinear equations. Zbl 1472.35121Maia, Liliane; Nornberg, Gabrielle; Pacella, Filomena 1 2021 Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients. Zbl 1470.35040Shen, Zhongwei 1 2021 Stochastic PDEs via convex minimization. Zbl 1460.35403Scarpa, Luca; Stefanelli, Ulisse 1 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 Black hole gluing in de Sitter space. Zbl 1479.83010Hintz, Peter 1 2021 Distance functions with dense singular sets. Zbl 1477.35069Santilli, Mario 1 2021 Unique continuation through hyperplane for higher order parabolic and Schrödinger equations. Zbl 1477.35051Huang, Tianxiao 1 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. 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 1484.35205Székelyhidi, Gábor; Weinkove, Ben 1 2021 Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Zbl 1478.35162Vasy, András 1 2021 The Fuchsian approach to global existence for hyperbolic equations. Zbl 1479.35088Beyer, Florian; Oliynyk, Todd A.; Olvera-Santamaría, J. Arturo 1 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 1 2021 The Cauchy problem for the \(L^2\)-critical generalized Zakharov-Kuznetsov equation in dimension 3. Zbl 1477.35221Linares, Felipe; Ramos, João P. G. 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 Long time existence for a two-dimensional strongly dispersive Boussinesq system. Zbl 1496.35325Saut, Jean-Claude; Xu, Li 1 2021 Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021Huang, Xiaoqi; Sogge, Christopher D. 1 2021 Threshold scattering for the 2D radial cubic-quintic NLS. Zbl 1477.35245Murphy, Jason 1 2021 Regularity estimates for the flow of BV autonomous divergence-free vector fields in \(\mathbb{R}^2\). Zbl 1484.37076Bonicatto, Paolo; Marconi, Elio 1 2021 Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360Bradshaw, Zachary; Tsai, Tai-Peng 12 2020 Nonlocal operators with singular anisotropic kernels. Zbl 07143800Chaker, Jamil; Kassmann, Moritz 11 2020 Reconstruction of piecewise constant layered conductivities in electrical impedance tomography. Zbl 1448.35572Garde, Henrik 7 2020 Long time existence of solutions to an elastic flow of networks. Zbl 1460.35036Garcke, Harald; Menzel, Julia; Pluda, Alessandra 7 2020 Geometric and obstacle scattering at low energy. Zbl 1460.35245Strohmaier, Alexander; Waters, Alden 7 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 7 2020 Linear and fully nonlinear elliptic equations with \(L_d\)-drift. Zbl 1460.35141Krylov, Nicolai V. 7 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 7 2020 Inverse random source problems for time-harmonic acoustic and elastic waves. Zbl 1461.78007Li, Jianliang; Helin, Tapio; Li, Peijun 6 2020 Sublinear elliptic systems with a convection term. Zbl 1454.35110Boccardo, Lucio; Orsina, Luigi 6 2020 Free boundary regularity for a multiphase shape optimization problem. Zbl 1430.35279Spolaor, Luca; Trey, Baptiste; Velichkov, Bozhidar 5 2020 Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. II: Generic nonlinearities. Zbl 1439.35200Matano, H.; Poláčik, P. 5 2020 The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032Ishii, Hitoshi; Siconolfi, Antonio 5 2020 Hot spots in convex domains are in the tips (up to an inradius). Zbl 1444.35034Steinerberger, Stefan 5 2020 On the spectrum of the Schrödinger operator on \(\mathbb{T}^d\): a normal form approach. Zbl 1439.81036Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 5 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. 4 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 4 2020 On mean curvature flow with forcing. Zbl 1439.35242Kim, Inwon; Kwon, Dohyun 4 2020 On the energy of critical solutions of the binormal flow. Zbl 1454.35273Banica, Valeria; Vega, Luis 4 2020 Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential. Zbl 1437.35046Kosygina, Elena; Yilmaz, Atilla; Zeitouni, Ofer 3 2020 The fractional Laplacian has infinite dimension. 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Zbl 1459.35233Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola 3 2020 Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions. Zbl 1462.35239Březina, Jan; Feireisl, Eduard; Novotný, Antonín 3 2020 Global weak solutions to the relativistic BGK equation. Zbl 1437.35659Calvo, Juan; Jabin, Pierre-Emmanuel; Soler, Juan 3 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. 3 2020 Almost minimizers of the one-phase free boundary problem. Zbl 1452.35006De Silva, D.; Savin, O. 3 2020 On the existence of \(L^2\)-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions. Zbl 1448.35330Marchesani, Stefano; Olla, Stefano 2 2020 The obstacle problem for a fractional Monge-Ampère equation. Zbl 1444.35085Jhaveri, Yash; Stinga, Pablo Raúl 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 ...and 1720 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,809 Authors 169 Papageorgiou, Nikolaos S. 149 Wei, Juncheng 126 Rădulescu, Vicenţiu D. 116 Tang, Xianhua 110 Guo, Boling 106 Mu, Chunlai 103 Winkler, Michael 98 Vazquez, Juan Luis 95 Alves, Claudianor Oliveira 90 Carrillo de la Plata, José Antonio 90 Feireisl, Eduard 87 Uhlmann, Gunther Alberto 82 Tan, Zhong 81 Helffer, Bernard 78 Valdinoci, Enrico 72 Dong, Hongjie 71 Ruzhansky, Michael V. 68 Byun, Sun-Sig 66 Rossi, Julio Daniel 64 Lin, Chang-Shou 64 Wang, Shu 63 Hayashi, Nakao 62 Kenig, Carlos Eduardo 61 Perthame, Benoît 61 Zou, Wenming 60 Do Ó, João M. 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