## 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.
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### 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
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### 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)

### 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 1143.26002
Caffarelli, Luis; Silvestre, Luis
2007
The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089
Otto, Felix
2001
A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041
Gidas, B.; Spruck, J.
1981
Existence and multiplicity results for some superlinear elliptic problems on $$\mathbb{R}^ N$$. Zbl 0837.35043
Bartsch, Thomas; Wang, Zhi-Qiang
1995
The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042
Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P.
1982
The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028
Lieberman, Gary M.
1991
Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139
Winkler, Michael
2010
Uniform estimates and blow-up behavior for solutions of $$-\Delta{} u =V(x) e^ u$$ in two dimensions. Zbl 0746.35006
Brézis, Haïm; Merle, Frank
1991
On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031
Crandall, M. G.; Rabinowitz, P. H.; Tartar, L.
1977
A chemotaxis system with logistic source. Zbl 1121.37068
Tello, J. Ignacio; Winkler, Michael
2007
$$L^p$$ bounds of solutions of reaction-diffusion equations. Zbl 0421.35009
Alikakos, Nicholas D.
1979
Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192
Winkler, Michael
2012
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071
Lebeau, G.; Robbiano, L.
1995
Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043
Boccardo, L.; Gallouet, T.
1992
First order quasilinear equations with boundary conditions. Zbl 0418.35024
Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C.
1979
A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071
Brézis, Haïm; Wainger, Stephen
1980
Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399
Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang
2004
Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class $$(V)_ a$$. Zbl 0702.35228
Oh, Yonggeun
1988
Multiple wells in the semi-classical limit. I. Zbl 0546.35053
Helffer, B.; Sjöstrand, J.
1984
Nontrivial solution of semilinear elliptic equation with critical exponent in $${\mathbb{R}{}}^ 2$$. Zbl 0763.35034
Cao, D. M.
1992
Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010
Zuazua, Enrike
1990
On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024
Tolksdorf, Peter
1983
Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013
Stinga, Pablo Raúl; Torrea, José Luis
2010
On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436
Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun
2003
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
2010
Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068
Kozono, Hideo; Yamazaki, Masao
1994
Microlocal defect measures. Zbl 0770.35001
Gérard, Patrick
1991
Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071
Schonbek, Maria E.
1986
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023
Lions, P.-L.
1983
Elliptic theory of differential edge operators. I. Zbl 0745.58045
Mazzeo, Rafe
1991
A Rellich type identity and applications. Zbl 0816.35027
Mitidieri, Enzo
1993
Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050
Schaeffer, Jack
1991
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas
2001
An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030
Craig, Walter
1985
Positive solutions of semilinear elliptic systems. Zbl 0818.35027
Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E.
1992
Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157
Guo, Yan; Wang, Yanjin
2012
Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069
García Azorero, J. P.; Peral Alonso, I.
1987
Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076
Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick
2011
Heat kernels and maximal $$L^ p$$-$$L^ q$$ estimates for parabolic evolution equations. Zbl 0886.35030
Hieber, Matthias; Prüss, Jan
1997
Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047
Taylor, Michael E.
1992
Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079
Krylov, N. V.
2007
Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080
Holden, Helge; Raynaud, Xavier
2007
On a singular nonlinear Dirichlet problem. Zbl 0692.35047
Coclite, M. M.; Palmieri, G.
1989
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2004
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
1980
Classification of solutions for a system of integral equations. Zbl 1073.45005
Chen, Wenxiong; Li, Congming; Ou, Biao
2005
Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071
Danchin, Raphaël
2001
Regularity criteria for the generalized MHD equations. Zbl 1134.76068
Wu, Jiahong
2008
Navier-Stokes flow in $$R^ 3$$ with measures as initial vorticity and Morrey spaces. Zbl 0681.35072
Giga, Yoshikazu; Miyakawa, Tetsuro
1989
On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070
Mellet, A.; Vasseur, A.
2007
Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110
Brenier, Y.
2000
Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021
Tataru, Daniel
1995
Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
2014
Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058
Schonbek, Maria Elena
1982
Wave packets and Fourier integral operators. Zbl 0389.35046
Cordoba, Antonio; Fefferman, Charles
1978
On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012
Bogachev, V. I.; Krylov, N. V.; Röckner, M.
2001
Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022
2004
Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089
Hmidi, T.; Keraani, S.; Rousset, F.
2011
Radial symmetry of positive solutions of nonlinear elliptic equations in $$\mathbb{R}^ n$$. Zbl 0788.35042
Li, Yi; Ni, Wei-Ming
1993
Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116
Gui, Changfeng
1996
On a class of superlinear elliptic problems. Zbl 0358.35032
Brézis, Haïm; Turner, R. E. L.
1977
A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049
Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu
2003
A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026
Kinnunen, Juha; Zhou, Shulin
1999
Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084
Yang, Tong; Yao, Zheng-an; Zhu, Changjiang
2001
Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051
Sideris, Thomas C.; Thomases, Becca; Wang, Dehua
2003
A damped hyperbolic equation with critical exponent. Zbl 0815.35067
Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K.
1992
The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245
Tao, Terence; Visan, Monica; Zhang, Xiaoyi
2007
Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010
Choe, Hi Jun; Kim, Hyunseok
2003
Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086
Cordier, Stéphane; Grenier, Emmanuel
2000
Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063
Alinhac, S.
1989
Geometric constraints on potentially singular solutions for the $$3-D$$ Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
1996
Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014
Barron, E. N.; Jensen, R.
1990
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
2010
On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109
Desvillettes, Laurent; Villani, Cédric
2000
The Kato-Ponce inequality. Zbl 1301.42026
Grafakos, Loukas; Oh, Seungly
2014
Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023
Hörmander, Lars
1983
An elliptic equation with singular nonlinearity. Zbl 0634.35031
Diaz, J. I.; Morel, J. M.; Oswald, L.
1987
Convexity properties of solutions to some classical variational problems. Zbl 0508.49013
Caffarelli, Luis A.; Spruck, Joel
1982
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040
Weinstein, Michael I.
1987
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
2011
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022
Lions, P.-L.
1983
Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014
Smith, Hart F.; Sogge, Christopher D.
2000
$$W^{1,2}_ p$$ solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045
Bramanti, Marco; Cerutti, M. Christina
1993
An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1993
Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079
Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich
1994
On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030
Iório, Rafael José jun.
1986
Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034
Mignot, Fulbert; Puel, Jean-Pierre
1980
Almost exponential decay near Maxwellian. Zbl 1096.82010
Strain, Robert M.; Guo, Yan
2006
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
2008
Local existence and uniqueness of solutions of degenerate parabolic equations. Zbl 0738.35033
Anderson, Jeffrey R.
1991
Recovering a potential from partial Cauchy data. Zbl 0998.35063
Bukhgeim, Alexander L.; Uhlmann, Gunther
2002
On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
2002
Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019
Nicolaenko, B.; Scheurer, B.; Temam, R.
1989
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
1993
On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022
Weinstein, Michael I.
1986
Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. Zbl 0741.35014
Li, Congming
1991
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions. Zbl 0884.35167
Brown, Russell M.; Uhlmann, Gunther A.
1997
Profile of blow-up solutions to mean field equations with singular data. Zbl 1062.35146
Bartolucci, Daniele; Chen, Chiun-Chuan; Lin, Chang-Shou; Tarantello, Gabriella
2004
The rate at which energy decays in a damped string. Zbl 0818.35072
Cox, Steven; Zuazua, Enrique
1994
A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131
Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe
2009
On classical solutions to the mean field game system of controls. Zbl 07502817
2022
Mixed local and nonlocal elliptic operators: regularity and maximum principles. Zbl 1486.35412
Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio
2022
Spectral flow for pair compatible equipartitions. Zbl 1484.35293
2022
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. Zbl 1484.35255
Feng, Yuanyuan; Mazzucato, Anna L.
2022
Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient. Zbl 1491.35071
Tello, J. Ignacio
2022
Selection by vanishing common noise for potential finite state mean field games. Zbl 1490.91018
Cecchin, Alekos; Delarue, François
2022
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. Zbl 1484.35157
Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang
2022
Convergence toward the steady state of a collisionless gas with Cercignani-Lampis boundary condition. Zbl 1491.35380
Bernou, Armand
2022
Hexagonal structures in 2D Navier-Stokes flows. Zbl 07538434
Brandolese, Lorenzo
2022
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328
Diao, Huaian; Cao, Xinlin; Liu, Hongyu
2021
Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Zbl 1470.92044
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
2021
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286
Danchin, Raphaël; Tan, Jin
2021
Liouville type theorems and regularity of solutions to degenerate or singular problems. I: Even solutions. Zbl 1471.35152
Sire, Yannick; Terracini, Susanna; Vita, Stefano
2021
On corner scattering for operators of divergence form and applications to inverse scattering. Zbl 1469.35164
Cakoni, Fioralba; Xiao, Jingni
2021
Mild assumptions for the derivation of Einstein’s effective viscosity formula. Zbl 1469.76131
Gérard-Varet, David; Höfer, Richard M.
2021
Normalized solutions of mass supercritical Schrödinger equations with potential. Zbl 07433748
Bartsch, Thomas; Molle, Riccardo; Rizzi, Matteo; Verzini, Gianmaria
2021
Attractors of the Einstein-Klein-Gordon system. Zbl 1462.35386
Fajman, David; Wyatt, Zoe
2021
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data. Zbl 1477.35151
Alazard, Thomas; Nguyen, Quoc-Hung
2021
Short-time existence of the $$\alpha$$-Dirac-harmonic map flow and applications. Zbl 1468.53059
Jost, Jürgen; Zhu, Jingyong
2021
Determining the magnetic potential in the fractional magnetic Calderón problem. Zbl 1470.35435
Li, Li
2021
Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278
Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel
2021
Mean exit time for the overdamped Langevin process: the case with critical points on the boundary. Zbl 1483.31032
Nectoux, Boris
2021
Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary. Zbl 1460.35078
Bonnaillie-Noël, Virginie; Dalla Riva, Matteo; Dambrine, Marc; Musolino, Paolo
2021
Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244
Bucur, Dorin; Henrot, Antoine; Michetti, Marco
2021
Localisation of the first eigenfunction of a convex domain. Zbl 1466.35271
Beck, Thomas
2021
Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in $$\mathbb{R}^N$$. Zbl 1467.35046
Barles, Guy; Quaas, Alexander; Rodríguez-Paredes, Andrei
2021
A class of prescribed Weingarten curvature equations in Euclidean space. Zbl 1479.35503
Chen, Li; Shang, Agen; Tu, Qiang
2021
Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows. Zbl 1480.53105
Cesaroni, A.; De Luca, L.; Novaga, M.; Ponsiglione, M.
2021
Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Zbl 1478.35161
Vasy, András
2021
Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150
Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni
2021
Global estimates for the Hartree-Fock-Bogoliubov equations. Zbl 1477.35190
Chong, Jacky; Grillakis, Manoussos; Machedon, Matei; Zhao, Zehua
2021
Regularity of nonvanishing – at infinity or at the boundary – solutions of the defocusing nonlinear Shrödinger equation. Zbl 1461.35197
Gialelis, Nikolaos; Karachalios, Nikos I.; Stratis, Ioannis G.
2021
The Dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions. Zbl 1467.35130
Dong, Hongjie; Li, Zongyuan
2021
A dynamical system approach to a class of radial weighted fully nonlinear equations. Zbl 1472.35121
Maia, Liliane; Nornberg, Gabrielle; Pacella, Filomena
2021
Recovery of discontinuous Lamé parameters from exterior Cauchy data. Zbl 1470.35430
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther
2021
Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients. Zbl 1470.35040
Shen, Zhongwei
2021
Minimal graphs and differential inclusions. Zbl 1470.35103
Tione, Riccardo
2021
Regularized potentials of Schrödinger operators and a local landscape function. Zbl 1487.35200
Steinerberger, Stefan
2021
Unique continuation through hyperplane for higher order parabolic and Schrödinger equations. Zbl 1477.35051
Huang, Tianxiao
2021
On local energy decay for large solutions of the Zakharov-Kuznetsov equation. Zbl 1477.35224
Mendez, Argenis J.; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C.
2021
A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation. Zbl 1477.35070
Caravenna, Laura; Crippa, Gianluca
2021
Weak Harnack inequalities for eigenvalues and constant rank theorems. Zbl 1484.35205
Székelyhidi, Gábor; Weinkove, Ben
2021
Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Zbl 1478.35162
Vasy, András
2021
The Fuchsian approach to global existence for hyperbolic equations. Zbl 1479.35088
Beyer, Florian; Oliynyk, Todd A.; Olvera-Santamaría, J. Arturo
2021
Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations. Zbl 1490.76046
Saut, Jean-Claude; Wang, Yuexun
2021
Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus. Zbl 1478.35205
Griffin-Pickering, Megan; Iacobelli, Mikaela
2021
The Cauchy problem for the $$L^2$$-critical generalized Zakharov-Kuznetsov equation in dimension 3. Zbl 1477.35221
Linares, Felipe; Ramos, João P. G.
2021
The $$L^p$$ Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system. Zbl 1480.35157
Dindoš, Martin
2021
Delayed blow-up by transport noise. Zbl 1477.60096
Flandoli, Franco; Galeati, Lucio; Luo, Dejun
2021
Long time existence for a two-dimensional strongly dispersive Boussinesq system. Zbl 07433751
Saut, Jean-Claude; Xu, Li
2021
Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021
Huang, Xiaoqi; Sogge, Christopher D.
2021
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with $$\chi^3$$ nonlinear response. Zbl 1479.35761
Ardila, Alex H.; Dinh, Van Duong; Forcella, Luigi
2021
Threshold scattering for the 2D radial cubic-quintic NLS. Zbl 1477.35245
Murphy, Jason
2021
An optimization problem in thermal insulation with Robin boundary conditions. Zbl 1477.49021
Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina
2021
Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360
2020
Nonlocal operators with singular anisotropic kernels. Zbl 07143800
Chaker, Jamil; Kassmann, Moritz
2020
Reconstruction of piecewise constant layered conductivities in electrical impedance tomography. Zbl 1448.35572
Garde, Henrik
2020
Linear and fully nonlinear elliptic equations with $$L_d$$-drift. Zbl 1460.35141
Krylov, Nicolai V.
2020
Long time existence of solutions to an elastic flow of networks. Zbl 1460.35036
Garcke, Harald; Menzel, Julia; Pluda, Alessandra
2020
Geometric and obstacle scattering at low energy. Zbl 1460.35245
Strohmaier, Alexander; Waters, Alden
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 1436.35010
Filippucci, Roberta; Pucci, Patrizia; Souplet, Philippe
2020
Inverse random source problems for time-harmonic acoustic and elastic waves. Zbl 1461.78007
Li, Jianliang; Helin, Tapio; Li, Peijun
2020
Free boundary regularity for a multiphase shape optimization problem. Zbl 1430.35279
Spolaor, Luca; Trey, Baptiste; Velichkov, Bozhidar
2020
Hot spots in convex domains are in the tips (up to an inradius). Zbl 1444.35034
Steinerberger, Stefan
2020
Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics. Zbl 1464.35078
Guo, Zongming; Li, Jiayu; Wan, Fangshu
2020
On mean curvature flow with forcing. Zbl 1439.35242
Kim, Inwon; Kwon, Dohyun
2020
On the spectrum of the Schrödinger operator on $$\mathbb{T}^d$$: a normal form approach. Zbl 1439.81036
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2020
On the energy of critical solutions of the binormal flow. Zbl 1454.35273
Banica, Valeria; Vega, Luis
2020
Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential. Zbl 1437.35046
Kosygina, Elena; Yilmaz, Atilla; Zeitouni, Ofer
2020
The fractional Laplacian has infinite dimension. Zbl 1427.35338
Spener, Adrian; Weber, Frederic; Zacher, Rico
2020
Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains. Zbl 1471.76022
Iftimie, D.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.
2020
Mean field games under invariance conditions for the state space. Zbl 1430.35111
Porretta, Alessio; Ricciardi, Michele
2020
Global weak solutions to the relativistic BGK equation. Zbl 1437.35659
Calvo, Juan; Jabin, Pierre-Emmanuel; Soler, Juan
2020
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. II: Generic nonlinearities. Zbl 1439.35200
Matano, H.; Poláčik, P.
2020
The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032
Ishii, Hitoshi; Siconolfi, Antonio
2020
The Hartree-Fock equations in modulation spaces. Zbl 1448.35420
Bhimani, Divyang G.; Grillakis, Manoussos; Okoudjou, Kasso A.
2020
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping. Zbl 1448.35462
Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Özsarı, Türker; Sepúlveda, Mauricio; Véjar-Asem, Rodrigo
2020
On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011
Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis
2020
Nonlocal dissipation measure and $$L^1$$ kinetic theory for fractional conservation laws. Zbl 1448.35536
Alibaud, Nathaël; Andreianov, Boris; Ouédraogo, Adama
2020
Sublinear elliptic systems with a convection term. Zbl 1454.35110
Boccardo, Lucio; Orsina, Luigi
2020
On the unique continuation of solutions to non-local non-linear dispersive equations. Zbl 1451.35164
Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L.
2020
Almost minimizers of the one-phase free boundary problem. Zbl 1452.35006
De Silva, D.; Savin, O.
2020
Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions. Zbl 1462.35239
Březina, Jan; Feireisl, Eduard; Novotný, Antonín
2020
Solutions with peaks for a coagulation-fragmentation equation. I: Stability of the tails. Zbl 1441.35044
Bonacini, Marco; Niethammer, Barbara; Velázquez, Juan J. L.
2020
The obstacle problem for a fractional Monge-Ampère equation. Zbl 1444.35085
Jhaveri, Yash; Stinga, Pablo Raúl
2020
Hamilton-Jacobi in metric spaces with a homological term. Zbl 1452.35066
Bessi, Ugo
2020
Enhanced dissipation for the 2D Couette flow in critical space. Zbl 1462.35247
2020
The Hartree and Vlasov equations at positive density. Zbl 1462.35398
Lewin, Mathieu; Sabin, Julien
2020
Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. Zbl 1459.35233
Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola
2020
Inverse source problem for a system of wave equations on a Lorentzian manifold. Zbl 1461.35243
Takase, Hiroshi
2020
On two methods for quantitative unique continuation results for some nonlocal operators. Zbl 1460.35061
García-Ferrero, María Ángeles; Rüland, Angkana
2020
An analytic construction of singular solutions related to a critical Yamabe problem. Zbl 1464.35119
Chan, Hardy; DelaTorre, Azahara
2020
Microlocal Weyl formula on contact manifolds. Zbl 1439.35357
Taylor, Michael
2020
On qualitative properties of solutions for elliptic problems with the $$p$$-Laplacian through domain perturbations. Zbl 1437.35402
2020
Strictly locally convex hypersurfaces with prescribed curvature and boundary in space forms. Zbl 1437.35417
Sui, Zhenan
2020
Entire nodal solutions to the critical Lane-Emden system. Zbl 1437.35257
Clapp, Mónica; Saldaña, Alberto
2020
Effective multipoles in random media. Zbl 1442.35020
Bella, Peter; Giunti, Arianna; Otto, Felix
2020
On the existence of $$L^2$$-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions. Zbl 1448.35330
Marchesani, Stefano; Olla, Stefano
2020
Free boundary problems involving singular weights. Zbl 1452.35057
Lamboley, Jimmy; Sire, Yannick; Teixeira, Eduardo V.
2020
Fully nonlinear integro-differential equations with deforming kernels. Zbl 1452.35055
Caffarelli, Luis; Teymurazyan, Rafayel; Urbano, José Miguel
2020
...and 1721 more Documents
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### 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
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### Cited in 730 Journals

 2,681 Journal of Differential Equations 1,953 Journal of Mathematical Analysis and Applications 1,636 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,333 Communications in Partial Differential Equations 956 Journal of Functional Analysis 827 Calculus of Variations and Partial Differential Equations 807 Archive for Rational Mechanics and Analysis 619 Discrete and Continuous Dynamical Systems 612 Journal of Mathematical Physics 607 Communications in Mathematical Physics 549 Transactions of the American Mathematical Society 543 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 483 Journal de Mathématiques Pures et Appliquées. Neuvième Série 483 SIAM Journal on Mathematical Analysis 455 Applicable Analysis 448 Communications on Pure and Applied Analysis 419 Proceedings of the American Mathematical Society 394 ZAMP. Zeitschrift für angewandte Mathematik und Physik 394 Nonlinear Analysis. Real World Applications 339 Advances in Mathematics 333 Nonlinear Analysis. Theory, Methods & Applications 330 Mathematical Methods in the Applied Sciences 312 Mathematische Annalen 311 The Journal of Geometric Analysis 302 NoDEA. Nonlinear Differential Equations and Applications 293 Annali di Matematica Pura ed Applicata. Serie Quarta 293 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 292 Applied Mathematics Letters 271 Comptes Rendus. Mathématique. Académie des Sciences, Paris 261 Journal of Evolution Equations 235 Communications in Contemporary Mathematics 233 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 233 Boundary Value Problems 217 Discrete and Continuous Dynamical Systems. Series B 208 Journal of Mathematical Fluid Mechanics 207 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 193 Physica D 192 Computers & Mathematics with Applications 191 Applied Mathematics and Computation 188 Duke Mathematical Journal 186 Acta Applicandae Mathematicae 178 Journal of Mathematical Sciences (New York) 177 Complex Variables and Elliptic Equations 176 Potential Analysis 174 Mathematische Zeitschrift 172 Acta Mathematica Sinica. English Series 162 Advanced Nonlinear Studies 161 Nonlinearity 160 Applied Mathematics and Optimization 157 Journal d’Analyse Mathématique 155 Journal of Computational Physics 152 Science China. Mathematics 151 Discrete and Continuous Dynamical Systems. Series S 149 Annales de l’Institut Fourier 146 Communications on Pure and Applied Mathematics 144 Journal of Hyperbolic Differential Equations 137 Journal of Dynamics and Differential Equations 137 Annales Henri Poincaré 136 Mathematische Nachrichten 135 Advances in Nonlinear Analysis 134 Journal of Statistical Physics 126 Manuscripta Mathematica 119 Abstract and Applied Analysis 118 SIAM Journal on Control and Optimization 117 Inventiones Mathematicae 116 Revista Matemática Iberoamericana 114 Journal of Computational and Applied Mathematics 108 Quarterly of Applied Mathematics 108 Journal of Nonlinear Science 107 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 103 Journal of the European Mathematical Society (JEMS) 103 Acta Mathematica Scientia. Series B. (English Edition) 99 Chinese Annals of Mathematics. 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
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### 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)