Communications in Partial Differential Equations Short Title: Commun. Partial Differ. Equations Publisher: Taylor & Francis, Philadelphia, PA ISSN: 0360-5302; 1532-4133/e Online: http://www.tandfonline.com/loi/lpde20 Comments: Indexed cover-to-cover Documents Indexed: 2,997 Publications (since 1976) References Indexed: 2,758 Publications with 56,283 References. all top 5 Latest Issues 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) 39, No. 7 (2014) 39, No. 6 (2014) 39, No. 5 (2014) ...and 216 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 Velázquez, Juan J. L. 11 Colombini, Ferruccio 11 Ishii, Hitoshi 11 Tartakoff, David S. 11 Uhlmann, Gunther Alberto 10 Alinhac, Serge 10 Barles, Guy 10 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 Sire, Yannick 8 Sogge, Christopher D. 8 Vodev, Georgi 8 Wei, Juncheng 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 Schochet, Steven H. 7 Tsai, Tai-Peng 7 Valdinoci, Enrico 7 Vega, Luis 7 Wang, Zhi-Qiang 7 Winkler, Michael 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 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 5 Chemin, Jean-Yves ...and 2,831 more Authors all top 5 Fields 2,792 Partial differential equations (35-XX) 351 Fluid mechanics (76-XX) 335 Global analysis, analysis on manifolds (58-XX) 251 Operator theory (47-XX) 164 Quantum theory (81-XX) 143 Calculus of variations and optimal control; optimization (49-XX) 132 Differential geometry (53-XX) 97 Statistical mechanics, structure of matter (82-XX) 82 Functional analysis (46-XX) 74 Probability theory and stochastic processes (60-XX) 71 Dynamical systems and ergodic theory (37-XX) 65 Mechanics of deformable solids (74-XX) 58 Optics, electromagnetic theory (78-XX) 53 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) 36 Numerical analysis (65-XX) 34 Systems theory; control (93-XX) 29 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 Manifolds and cell complexes (57-XX) 10 Difference and functional equations (39-XX) 10 Integral transforms, operational calculus (44-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Measure and integration (28-XX) 7 Number theory (11-XX) 6 Convex and discrete geometry (52-XX) 5 Algebraic topology (55-XX) 4 General topology (54-XX) 4 Operations research, mathematical programming (90-XX) 3 Special functions (33-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,728 Publications have been cited 52,646 times in 36,024 Documents Cited by ▼ Year ▼ An extension problem related to the fractional Laplacian. Zbl 1143.26002Caffarelli, Luis; Silvestre, Luis 1,360 2007 The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089Otto, Felix 497 2001 A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041Gidas, B.; Spruck, J. 429 1981 Existence and multiplicity results for some superlinear elliptic problems on \(\mathbb{R}^ N\). Zbl 0837.35043Bartsch, Thomas; Wang, Zhi-Qiang 423 1995 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 412 1982 The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028Lieberman, Gary M. 387 1991 Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139Winkler, Michael 370 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 365 1991 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 359 1977 A chemotaxis system with logistic source. Zbl 1121.37068Tello, J. Ignacio; Winkler, Michael 299 2007 \(L^p\) bounds of solutions of reaction-diffusion equations. Zbl 0421.35009Alikakos, Nicholas D. 298 1979 Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192Winkler, Michael 295 2012 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071Lebeau, G.; Robbiano, L. 293 1995 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043Boccardo, L.; Gallouet, T. 278 1992 First order quasilinear equations with boundary conditions. Zbl 0418.35024Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C. 269 1979 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071Brézis, Haïm; Wainger, Stephen 254 1980 Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang 251 2004 Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class \((V)_ a\). Zbl 0702.35228Oh, Yonggeun 233 1988 Multiple wells in the semi-classical limit. I. Zbl 0546.35053Helffer, B.; Sjöstrand, J. 224 1984 Nontrivial solution of semilinear elliptic equation with critical exponent in \({\mathbb{R}{}}^ 2\). Zbl 0763.35034Cao, D. M. 218 1992 Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010Zuazua, Enrike 213 1990 On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024Tolksdorf, Peter 211 1983 Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013Stinga, Pablo Raúl; Torrea, José Luis 210 2010 On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun 209 2003 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005Duan, Renjun; Lorz, Alexander; Markowich, Peter 201 2010 Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068Kozono, Hideo; Yamazaki, Masao 198 1994 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 187 1991 Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071Schonbek, Maria E. 183 1986 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023Lions, P.-L. 182 1983 Elliptic theory of differential edge operators. I. Zbl 0745.58045Mazzeo, Rafe 181 1991 A Rellich type identity and applications. Zbl 0816.35027Mitidieri, Enzo 181 1993 Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050Schaeffer, Jack 165 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 165 2001 An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030Craig, Walter 164 1985 Positive solutions of semilinear elliptic systems. Zbl 0818.35027Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E. 158 1992 Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157Guo, Yan; Wang, Yanjin 157 2012 Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069García Azorero, J. P.; Peral Alonso, I. 153 1987 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 153 2011 Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030Hieber, Matthias; Prüss, Jan 147 1997 Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047Taylor, Michael E. 146 1992 Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079Krylov, N. V. 146 2007 Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080Holden, Helge; Raynaud, Xavier 140 2007 On a singular nonlinear Dirichlet problem. Zbl 0692.35047Coclite, M. M.; Palmieri, G. 136 1989 Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 135 2004 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 135 1980 Classification of solutions for a system of integral equations. Zbl 1073.45005Chen, Wenxiong; Li, Congming; Ou, Biao 133 2005 Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071Danchin, Raphaël 131 2001 Regularity criteria for the generalized MHD equations. Zbl 1134.76068Wu, Jiahong 131 2008 Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072Giga, Yoshikazu; Miyakawa, Tetsuro 129 1989 On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070Mellet, A.; Vasseur, A. 128 2007 Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110Brenier, Y. 127 2000 Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021Tataru, Daniel 124 1995 Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 122 2014 Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058Schonbek, Maria Elena 121 1982 Wave packets and Fourier integral operators. Zbl 0389.35046Cordoba, Antonio; Fefferman, Charles 121 1978 On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012Bogachev, V. I.; Krylov, N. V.; Röckner, M. 120 2001 Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022Adimurthi; Druet, O. 120 2004 Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089Hmidi, T.; Keraani, S.; Rousset, F. 118 2011 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 118 1993 Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116Gui, Changfeng 117 1996 On a class of superlinear elliptic problems. Zbl 0358.35032Brézis, Haïm; Turner, R. E. L. 116 1977 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 116 2003 A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026Kinnunen, Juha; Zhou, Shulin 114 1999 Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084Yang, Tong; Yao, Zheng-an; Zhu, Changjiang 113 2001 Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051Sideris, Thomas C.; Thomases, Becca; Wang, Dehua 109 2003 A damped hyperbolic equation with critical exponent. Zbl 0815.35067Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K. 104 1992 The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245Tao, Terence; Visan, Monica; Zhang, Xiaoyi 104 2007 Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010Choe, Hi Jun; Kim, Hyunseok 104 2003 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086Cordier, Stéphane; Grenier, Emmanuel 103 2000 Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063Alinhac, S. 102 1989 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 102 1996 Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014Barron, E. N.; Jensen, R. 101 1990 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 100 2010 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109Desvillettes, Laurent; Villani, Cédric 98 2000 The Kato-Ponce inequality. Zbl 1301.42026Grafakos, Loukas; Oh, Seungly 95 2014 Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023Hörmander, Lars 95 1983 An elliptic equation with singular nonlinearity. Zbl 0634.35031Diaz, J. I.; Morel, J. M.; Oswald, L. 94 1987 Convexity properties of solutions to some classical variational problems. Zbl 0508.49013Caffarelli, Luis A.; Spruck, Joel 92 1982 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 90 1987 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 89 2011 Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022Lions, P.-L. 89 1983 Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014Smith, Hart F.; Sogge, Christopher D. 89 2000 \(W^{1,2}_ p\) solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045Bramanti, Marco; Cerutti, M. Christina 89 1993 An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024Capogna, Luca; Danielli, Donatella; Garofalo, Nicola 88 1993 Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich 88 1994 On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030Iório, Rafael José jun. 88 1986 Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034Mignot, Fulbert; Puel, Jean-Pierre 88 1980 Almost exponential decay near Maxwellian. Zbl 1096.82010Strain, Robert M.; Guo, Yan 88 2006 Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301Le Bris, C.; Lions, P.-L. 88 2008 Local existence and uniqueness of solutions of degenerate parabolic equations. Zbl 0738.35033Anderson, Jeffrey R. 87 1991 Recovering a potential from partial Cauchy data. Zbl 0998.35063Bukhgeim, Alexander L.; Uhlmann, Gunther 87 2002 On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020Chueshov, Igor; Eller, Matthias; Lasiecka, Irena 87 2002 Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019Nicolaenko, B.; Scheurer, B.; Temam, R. 86 1989 Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025Fusco, Nicola; Sbordone, Carlo 85 1993 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 85 1986 Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. Zbl 0741.35014Li, Congming 82 1991 Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions. Zbl 0884.35167Brown, Russell M.; Uhlmann, Gunther A. 81 1997 Profile of blow-up solutions to mean field equations with singular data. Zbl 1062.35146Bartolucci, Daniele; Chen, Chiun-Chuan; Lin, Chang-Shou; Tarantello, Gabriella 81 2004 The rate at which energy decays in a damped string. Zbl 0818.35072Cox, Steven; Zuazua, Enrique 80 1994 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 79 2009 On classical solutions to the mean field game system of controls. Zbl 07502817Kobeissi, Ziad 4 2022 Mixed local and nonlocal elliptic operators: regularity and maximum principles. 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Zbl 1483.31032Nectoux, Boris 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 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244Bucur, Dorin; Henrot, Antoine; Michetti, Marco 2 2021 Localisation of the first eigenfunction of a convex domain. Zbl 1466.35271Beck, Thomas 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 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 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 The Dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions. Zbl 1467.35130Dong, Hongjie; Li, Zongyuan 1 2021 A dynamical system approach to a class of radial weighted fully nonlinear equations. Zbl 1472.35121Maia, Liliane; Nornberg, Gabrielle; Pacella, Filomena 1 2021 Recovery of discontinuous Lamé parameters from exterior Cauchy data. Zbl 1470.35430Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther 1 2021 Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients. Zbl 1470.35040Shen, Zhongwei 1 2021 Minimal graphs and differential inclusions. Zbl 1470.35103Tione, Riccardo 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 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 Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus. Zbl 1478.35205Griffin-Pickering, Megan; Iacobelli, Mikaela 1 2021 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 Delayed blow-up by transport noise. Zbl 1477.60096Flandoli, Franco; Galeati, Lucio; Luo, Dejun 1 2021 Long time existence for a two-dimensional strongly dispersive Boussinesq system. Zbl 07433751Saut, Jean-Claude; Xu, Li 1 2021 Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021Huang, Xiaoqi; Sogge, Christopher D. 1 2021 Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with \(\chi^3\) nonlinear response. Zbl 1479.35761Ardila, Alex H.; Dinh, Van Duong; Forcella, Luigi 1 2021 Threshold scattering for the 2D radial cubic-quintic NLS. Zbl 1477.35245Murphy, Jason 1 2021 An optimization problem in thermal insulation with Robin boundary conditions. Zbl 1477.49021Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina 1 2021 Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360Bradshaw, Zachary; Tsai, Tai-Peng 10 2020 Nonlocal operators with singular anisotropic kernels. Zbl 07143800Chaker, Jamil; Kassmann, Moritz 8 2020 Reconstruction of piecewise constant layered conductivities in electrical impedance tomography. Zbl 1448.35572Garde, Henrik 7 2020 Linear and fully nonlinear elliptic equations with \(L_d\)-drift. Zbl 1460.35141Krylov, Nicolai V. 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 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 6 2020 Inverse random source problems for time-harmonic acoustic and elastic waves. Zbl 1461.78007Li, Jianliang; Helin, Tapio; Li, Peijun 6 2020 Free boundary regularity for a multiphase shape optimization problem. Zbl 1430.35279Spolaor, Luca; Trey, Baptiste; Velichkov, Bozhidar 5 2020 Hot spots in convex domains are in the tips (up to an inradius). Zbl 1444.35034Steinerberger, Stefan 5 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 5 2020 On mean curvature flow with forcing. Zbl 1439.35242Kim, Inwon; Kwon, Dohyun 4 2020 On the spectrum of the Schrödinger operator on \(\mathbb{T}^d\): a normal form approach. Zbl 1439.81036Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 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. Zbl 1427.35338Spener, Adrian; Weber, Frederic; Zacher, Rico 3 2020 Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains. Zbl 1471.76022Iftimie, D.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. 3 2020 Mean field games under invariance conditions for the state space. Zbl 1430.35111Porretta, Alessio; Ricciardi, Michele 3 2020 Global weak solutions to the relativistic BGK equation. Zbl 1437.35659Calvo, Juan; Jabin, Pierre-Emmanuel; Soler, Juan 3 2020 Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. II: Generic nonlinearities. Zbl 1439.35200Matano, H.; Poláčik, P. 3 2020 The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032Ishii, Hitoshi; Siconolfi, Antonio 3 2020 The Hartree-Fock equations in modulation spaces. Zbl 1448.35420Bhimani, Divyang G.; Grillakis, Manoussos; Okoudjou, Kasso A. 3 2020 Exponential stability for the nonlinear Schrödinger equation with locally distributed damping. Zbl 1448.35462Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Özsarı, Türker; Sepúlveda, Mauricio; Véjar-Asem, Rodrigo 3 2020 On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis 3 2020 Nonlocal dissipation measure and \(L^1\) kinetic theory for fractional conservation laws. Zbl 1448.35536Alibaud, Nathaël; Andreianov, Boris; Ouédraogo, Adama 3 2020 Sublinear elliptic systems with a convection term. Zbl 1454.35110Boccardo, Lucio; Orsina, Luigi 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 Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions. Zbl 1462.35239Březina, Jan; Feireisl, Eduard; Novotný, Antonín 3 2020 Solutions with peaks for a coagulation-fragmentation equation. I: Stability of the tails. Zbl 1441.35044Bonacini, Marco; Niethammer, Barbara; Velázquez, Juan J. L. 2 2020 The obstacle problem for a fractional Monge-Ampère equation. Zbl 1444.35085Jhaveri, Yash; Stinga, Pablo Raúl 2 2020 Hamilton-Jacobi in metric spaces with a homological term. Zbl 1452.35066Bessi, Ugo 2 2020 Enhanced dissipation for the 2D Couette flow in critical space. Zbl 1462.35247Masmoudi, Nader; Zhao, Weiren 2 2020 The Hartree and Vlasov equations at positive density. Zbl 1462.35398Lewin, Mathieu; Sabin, Julien 2 2020 Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. Zbl 1459.35233Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola 2 2020 Inverse source problem for a system of wave equations on a Lorentzian manifold. Zbl 1461.35243Takase, Hiroshi 2 2020 On two methods for quantitative unique continuation results for some nonlocal operators. Zbl 1460.35061García-Ferrero, María Ángeles; Rüland, Angkana 2 2020 An analytic construction of singular solutions related to a critical Yamabe problem. Zbl 1464.35119Chan, Hardy; DelaTorre, Azahara 2 2020 Microlocal Weyl formula on contact manifolds. Zbl 1439.35357Taylor, Michael 1 2020 On qualitative properties of solutions for elliptic problems with the \(p\)-Laplacian through domain perturbations. Zbl 1437.35402Bobkov, Vladimir; Kolonitskii, Sergey 1 2020 Strictly locally convex hypersurfaces with prescribed curvature and boundary in space forms. Zbl 1437.35417Sui, Zhenan 1 2020 Entire nodal solutions to the critical Lane-Emden system. Zbl 1437.35257Clapp, Mónica; Saldaña, Alberto 1 2020 Effective multipoles in random media. Zbl 1442.35020Bella, Peter; Giunti, Arianna; Otto, Felix 1 2020 On the existence of \(L^2\)-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions. Zbl 1448.35330Marchesani, Stefano; Olla, Stefano 1 2020 Free boundary problems involving singular weights. Zbl 1452.35057Lamboley, Jimmy; Sire, Yannick; Teixeira, Eduardo V. 1 2020 Fully nonlinear integro-differential equations with deforming kernels. Zbl 1452.35055Caffarelli, Luis; Teymurazyan, Rafayel; Urbano, José Miguel 1 2020 ...and 1721 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,267 Authors 166 Papageorgiou, Nikolaos S. 146 Wei, Juncheng 123 Rădulescu, Vicenţiu D. 113 Tang, Xianhua 104 Mu, Chunlai 103 Guo, Boling 98 Vazquez, Juan Luis 98 Winkler, Michael 95 Alves, Claudianor Oliveira 89 Feireisl, Eduard 88 Carrillo de la Plata, José Antonio 82 Tan, Zhong 82 Uhlmann, Gunther Alberto 79 Helffer, Bernard 75 Valdinoci, Enrico 68 Dong, Hongjie 67 Ruzhansky, Michael V. 64 Rossi, Julio Daniel 64 Wang, Shu 63 Hayashi, Nakao 63 Lin, Chang-Shou 62 Byun, Sun-Sig 61 Kenig, Carlos Eduardo 61 Zou, Wenming 60 Perthame, Benoît 59 Dolbeault, Jean 59 Fan, Jishan 58 Do Ó, João M. Bezerra 58 Yamamoto, Masahiro 57 Masmoudi, Nader 57 Wang, Zhi-Qiang 56 Figueiredo, Giovany Malcher 56 Mingione, Giuseppe 56 Naumkin, Pavel Ivanovich 55 Lu, Guozhen 55 Yin, Zhaoyang 55 Zuazua, Enrique 54 Boccardo, Lucio 54 Fang, Daoyuan 54 Lassas, Matti J. 54 Röckner, Michael 54 Sire, Yannick 53 Caffarelli, Luis Ángel 53 Coclite, Giuseppe Maria 53 Himonas, A. Alexandrou 53 Pistoia, Angela 52 Ambrosio, Vincenzo 52 Lions, Pierre-Louis 51 Del Pino, Manuel A. 51 Xin, Zhouping 51 Yao, Zhengan 50 Peng, Shuangjie 49 Nakamura, Gen 49 Wu, Jiahong 48 Miyagaki, Olimpio Hiroshi 48 Ozawa, Tohru 48 Zhao, Huijiang 47 Giga, Yoshikazu 46 Vega, Luis 46 Zhang, Binlin 45 Diaz Diaz, Jesus Ildefonso 45 Dipierro, Serena 45 Lasiecka, Irena 45 Yin, Jingxue 45 Zhang, Zhifei 44 Chae, Dongho 44 Ferreira, Lucas Catão de Freitas 44 Miao, Changxing 44 Ponce, Gustavo 44 Shaposhnikov, Stanislav V. 44 Yang, Dachun 44 Yang, Tong 43 Bogachev, Vladimir Igorevich 43 Chen, Gui-Qiang G. 43 Karlsen, Kenneth Hvistendahl 43 Repovš, Dušan D. 42 Cao, Daomin 42 Garofalo, Nicola 42 Li, Yongsheng 42 Sjöstrand, Johannes 42 Titi, Edriss Saleh 42 Wang, Lihe 42 Zhu, Changjiang 41 Cianchi, Andrea 41 Desvillettes, Laurent 41 Figalli, Alessio 41 Guo, Yuxia 41 Kang, Kyungkeun 41 Zhang, Ping 40 da Silva Montenegro, Marcelo 40 Shahgholian, Henrik 40 Yang, Zuodong 39 Byeon, Jaeyoung 39 Ding, Yanheng 39 Duan, Renjun 39 Nicola, Fabio 39 Quaas, Alexander 39 Tao, Youshan 39 Vasseur, Alexis F. 39 Zhang, Jian ...and 19,167 more Authors all top 5 Cited in 730 Journals 2,681 Journal of Differential Equations 1,953 Journal of Mathematical Analysis and Applications 1,636 Nonlinear Analysis. 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Series B 96 The Journal of Fourier Analysis and Applications 91 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 90 Kinetic and Related Models 89 Monatshefte für Mathematik 89 Stochastic Processes and their Applications 89 Mediterranean Journal of Mathematics 89 Journal of Pseudo-Differential Operators and Applications 88 Acta Mathematicae Applicatae Sinica. English Series 84 Numerische Mathematik 83 Asymptotic Analysis 82 Inverse Problems 82 Electronic Journal of Differential Equations (EJDE) 81 Zeitschrift für Analysis und ihre Anwendungen 78 Mathematics of Computation 76 Bulletin des Sciences Mathématiques 74 SIAM Journal on Applied Mathematics 74 Inverse Problems and Imaging 73 Rocky Mountain Journal of Mathematics 73 Analysis & PDE 70 Proceedings of the Japan Academy. Series A 69 Journal of Scientific Computing 69 Annales de l’Institut Henri Poincaré. Physique Théorique 68 Letters in Mathematical Physics 68 Reviews in Mathematical Physics 68 Integral Equations and Operator Theory 65 Publications of the Research Institute for Mathematical Sciences, Kyoto University 64 Milan Journal of Mathematics ...and 630 more Journals all top 5 Cited in 62 Fields 30,361 Partial differential equations (35-XX) 5,774 Fluid mechanics (76-XX) 2,550 Global analysis, analysis on manifolds (58-XX) 2,435 Operator theory (47-XX) 2,088 Calculus of variations and optimal control; optimization (49-XX) 1,756 Numerical analysis (65-XX) 1,645 Biology and other natural sciences (92-XX) 1,496 Functional analysis (46-XX) 1,477 Quantum theory (81-XX) 1,472 Statistical mechanics, structure of matter (82-XX) 1,415 Differential geometry (53-XX) 1,386 Probability theory and stochastic processes (60-XX) 1,257 Dynamical systems and ergodic theory (37-XX) 1,158 Mechanics of deformable solids (74-XX) 1,108 Systems theory; control (93-XX) 1,053 Ordinary differential equations (34-XX) 974 Harmonic analysis on Euclidean spaces (42-XX) 671 Optics, electromagnetic theory (78-XX) 668 Real functions (26-XX) 606 Integral equations (45-XX) 497 Potential theory (31-XX) 410 Several complex variables and analytic spaces (32-XX) 334 Classical thermodynamics, heat transfer (80-XX) 318 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 317 Relativity and gravitational theory (83-XX) 240 Functions of a complex variable (30-XX) 237 Geophysics (86-XX) 219 Mechanics of particles and systems (70-XX) 203 Topological groups, Lie groups (22-XX) 200 Operations research, mathematical programming (90-XX) 197 Measure and integration (28-XX) 175 Abstract harmonic analysis (43-XX) 107 Approximations and expansions (41-XX) 101 Difference and functional equations (39-XX) 95 Information and communication theory, circuits (94-XX) 92 Astronomy and astrophysics (85-XX) 91 Integral transforms, operational calculus (44-XX) 80 Special functions (33-XX) 70 Convex and discrete geometry (52-XX) 69 Computer science (68-XX) 55 Number theory (11-XX) 53 Manifolds and cell complexes (57-XX) 52 Algebraic geometry (14-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 43 Statistics (62-XX) 32 History and biography (01-XX) 31 General and overarching topics; collections (00-XX) 31 Combinatorics (05-XX) 30 General topology (54-XX) 24 Nonassociative rings and algebras (17-XX) 23 Algebraic topology (55-XX) 22 \(K\)-theory (19-XX) 14 Geometry (51-XX) 12 Sequences, series, summability (40-XX) 8 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 3 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