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Communications in Partial Differential Equations

Short Title: Commun. Partial Differ. Equations
Publisher: Taylor & Francis, Philadelphia, PA
ISSN: 0360-5302; 1532-4133/e
Online: http://www.tandfonline.com/loi/lpde20
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 3,057 Publications (since 1976)
References Indexed: 2,818 Publications with 58,264 References.
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49, No. 1-2 (2024)
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...and 229 more Volumes
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Authors

18 Caffarelli, Luis Ángel
18 Feireisl, Eduard
18 Lions, Pierre-Louis
17 Taylor, Michael Eugene
16 Vazquez, Juan Luis
13 Krylov, Nicolaĭ Vladimirovich
13 Velázquez, Juan J. L.
12 Friedman, Avner
12 Helffer, Bernard
12 Kenig, Carlos Eduardo
12 Métivier, Guy
12 Sjöstrand, Johannes
12 Uhlmann, Gunther Alberto
11 Colombini, Ferruccio
11 Ishii, Hitoshi
11 Tartakoff, David S.
10 Alinhac, Serge
10 Barles, Guy
10 Eskin, Gregory
10 Giga, Yoshikazu
10 Gutiérrez, Cristian E.
10 Masmoudi, Nader
10 Parenti, Cesare
10 Schonbek, Maria Elena
9 Da Prato, Giuseppe
9 Grubb, Gerd
9 Koch, Herbert
9 Lin, Chang-Shou
9 Tataru, Daniel
9 Vasy, András
9 Zuily, Claude
8 Choe, Hi Jun
8 Dong, Hongjie
8 Grillakis, Manoussos G.
8 Laurençot, Philippe
8 Li, Tatsien
8 Lieberman, Gary M.
8 Parmeggiani, Alberto
8 Perthame, Benoît
8 Ponce, Gustavo
8 Sá Barreto, Antônio
8 Schochet, Steven H.
8 Sire, Yannick
8 Sogge, Christopher D.
8 Vodev, Georgi
8 Wei, Juncheng
8 Winkler, Michael
7 Bal, Guillaume
7 Carrillo de la Plata, José Antonio
7 Dauge, Monique
7 Desvillettes, Laurent
7 Felmer, Patricio L.
7 Hounie, Jorge G.
7 Isakov, Victor M.
7 Jüngel, Ansgar
7 Lascar, Bernard
7 Nicaise, Serge
7 Raikov, Georgi D.
7 Rauch, Jeffrey B.
7 Roquejoffre, Jean-Michel
7 Saut, Jean-Claude
7 Tsai, Tai-Peng
7 Valdinoci, Enrico
7 Vega, Luis
7 Wang, Zhi-Qiang
7 Zuazua, Enrique
6 Bolley, Pierre
6 Cardoso, Fernando
6 Carles, Rémi
6 Chae, Dongho
6 de Hoop, Maarten V.
6 Delort, Jean-Marc
6 Dolbeault, Jean
6 Escher, Joachim
6 Georgiev, Vladimir S.
6 Holden, Helge
6 Kang, Kyungkeun
6 Lasiecka, Irena
6 Lebeau, Gilles
6 Majda, Andrew J.
6 Melrose, Richard Burt
6 Monneau, Régis
6 Nakamura, Shu
6 Nishitani, Tatsuo
6 Nourrigat, Jean Francois
6 Novotný, Antonín
6 Poláčik, Peter
6 Rivière, Tristan
6 Röckner, Michael
6 Rothschild, Linda Preiss
6 Ryzhik, Lenya
6 Serre, Denis
6 Silvestre, Luis E.
6 Wang, Changyou
6 Xin, Zhouping
6 Zhang, Ping
6 Zhou, Yi
6 Zhou, Zhengfang
5 Adimurthi, A.
5 Baouendi, Mohammed Salah
...and 2,908 more Authors
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Fields

2,848 Partial differential equations (35-XX)
359 Fluid mechanics (76-XX)
335 Global analysis, analysis on manifolds (58-XX)
252 Operator theory (47-XX)
169 Quantum theory (81-XX)
151 Calculus of variations and optimal control; optimization (49-XX)
137 Differential geometry (53-XX)
101 Statistical mechanics, structure of matter (82-XX)
82 Functional analysis (46-XX)
79 Probability theory and stochastic processes (60-XX)
74 Dynamical systems and ergodic theory (37-XX)
68 Mechanics of deformable solids (74-XX)
59 Optics, electromagnetic theory (78-XX)
57 Biology and other natural sciences (92-XX)
47 Several complex variables and analytic spaces (32-XX)
47 Harmonic analysis on Euclidean spaces (42-XX)
45 Potential theory (31-XX)
43 Integral equations (45-XX)
39 Numerical analysis (65-XX)
34 Systems theory; control (93-XX)
32 Ordinary differential equations (34-XX)
28 Relativity and gravitational theory (83-XX)
26 Topological groups, Lie groups (22-XX)
24 Real functions (26-XX)
20 Abstract harmonic analysis (43-XX)
20 Classical thermodynamics, heat transfer (80-XX)
16 Geophysics (86-XX)
15 Functions of a complex variable (30-XX)
15 Mechanics of particles and systems (70-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Measure and integration (28-XX)
10 Difference and functional equations (39-XX)
10 Integral transforms, operational calculus (44-XX)
10 Manifolds and cell complexes (57-XX)
6 Number theory (11-XX)
6 Convex and discrete geometry (52-XX)
5 Algebraic topology (55-XX)
5 Operations research, mathematical programming (90-XX)
4 General topology (54-XX)
3 Special functions (33-XX)
3 Astronomy and astrophysics (85-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 \(K\)-theory (19-XX)
2 Approximations and expansions (41-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Computer science (68-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

2,822 Publications have been cited 61,773 times in 41,805 Documents Cited by Year
An extension problem related to the fractional Laplacian. Zbl 1143.26002
Caffarelli, Luis; Silvestre, Luis
2007
The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089
Otto, Felix
590
2001
Existence and multiplicity results for some superlinear elliptic problems on \(\mathbb{R}^ N\). Zbl 0837.35043
Bartsch, Thomas; Wang, Zhi-Qiang
524
1995
Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139
Winkler, Michael
491
2010
The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028
Lieberman, Gary M.
488
1991
The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042
Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P.
487
1982
A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041
Gidas, B.; Spruck, J.
479
1981
On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031
Crandall, M. G.; Rabinowitz, P. H.; Tartar, L.
426
1977
Uniform estimates and blow-up behavior for solutions of \(-\Delta{} u =V(x) e^ u\) in two dimensions. Zbl 0746.35006
Brézis, Haïm; Merle, Frank
408
1991
Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192
Winkler, Michael
403
2012
A chemotaxis system with logistic source. Zbl 1121.37068
Tello, J. Ignacio; Winkler, Michael
393
2007
\(L^p\) bounds of solutions of reaction-diffusion equations. Zbl 0421.35009
Alikakos, Nicholas D.
350
1979
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071
Lebeau, G.; Robbiano, L.
343
1995
Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043
Boccardo, L.; Gallouet, T.
324
1992
Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399
Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang
300
2004
Nontrivial solution of semilinear elliptic equation with critical exponent in \({\mathbb{R}{}}^ 2\). Zbl 0763.35034
Cao, D. M.
293
1992
First order quasilinear equations with boundary conditions. Zbl 0418.35024
Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C.
291
1979
A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071
Brézis, Haïm; Wainger, Stephen
286
1980
Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013
Stinga, Pablo Raúl; Torrea, José Luis
257
2010
Multiple wells in the semi-classical limit. I. Zbl 0546.35053
Helffer, B.; Sjöstrand, J.
256
1984
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
255
2010
On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436
Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun
250
2003
Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class \((V)_ a\). Zbl 0702.35228
Oh, Yonggeun
249
1988
Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010
Zuazua, Enrike
247
1990
On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024
Tolksdorf, Peter
229
1983
Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068
Kozono, Hideo; Yamazaki, Masao
228
1994
Microlocal defect measures. Zbl 0770.35001
Gérard, Patrick
212
1991
Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071
Schonbek, Maria E.
210
1986
Elliptic theory of differential edge operators. I. Zbl 0745.58045
Mazzeo, Rafe
209
1991
Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157
Guo, Yan; Wang, Yanjin
207
2012
A Rellich type identity and applications. Zbl 0816.35027
Mitidieri, Enzo
203
1993
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023
Lions, P.-L.
201
1983
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas
190
2001
Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050
Schaeffer, Jack
190
1991
Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069
García Azorero, J. P.; Peral Alonso, I.
182
1987
An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030
Craig, Walter
182
1985
Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030
Hieber, Matthias; Prüss, Jan
178
1997
Positive solutions of semilinear elliptic systems. Zbl 0818.35027
Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E.
175
1992
Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076
Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick
172
2011
Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047
Taylor, Michael E.
169
1992
Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079
Krylov, N. V.
167
2007
Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080
Holden, Helge; Raynaud, Xavier
161
2007
On a singular nonlinear Dirichlet problem. Zbl 0692.35047
Coclite, M. M.; Palmieri, G.
158
1989
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
157
2004
Classification of solutions for a system of integral equations. Zbl 1073.45005
Chen, Wenxiong; Li, Congming; Ou, Biao
156
2005
Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
155
2014
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
153
1980
Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072
Giga, Yoshikazu; Miyakawa, Tetsuro
152
1989
Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071
Danchin, Raphaël
149
2001
On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070
Mellet, A.; Vasseur, A.
147
2007
Regularity criteria for the generalized MHD equations. Zbl 1134.76068
Wu, Jiahong
145
2008
Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110
Brenier, Y.
144
2000
Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021
Tataru, Daniel
144
1995
Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051
Sideris, Thomas C.; Thomases, Becca; Wang, Dehua
139
2003
Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089
Hmidi, T.; Keraani, S.; Rousset, F.
137
2011
Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022
Adimurthi; Druet, O.
136
2004
On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
135
2002
Wave packets and Fourier integral operators. Zbl 0389.35046
Cordoba, Antonio; Fefferman, Charles
135
1978
Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058
Schonbek, Maria Elena
133
1982
The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245
Tao, Terence; Visan, Monica; Zhang, Xiaoyi
133
2007
Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063
Alinhac, S.
133
1989
On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012
Bogachev, V. I.; Krylov, N. V.; Röckner, M.
132
2001
Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042
Li, Yi; Ni, Wei-Ming
131
1993
A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026
Kinnunen, Juha; Zhou, Shulin
130
1999
A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049
Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu
130
2003
On a class of superlinear elliptic problems. Zbl 0358.35032
Brézis, Haïm; Turner, R. E. L.
129
1977
The Kato-Ponce inequality. Zbl 1301.42026
Grafakos, Loukas; Oh, Seungly
128
2014
Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116
Gui, Changfeng
125
1996
Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084
Yang, Tong; Yao, Zheng-an; Zhu, Changjiang
125
2001
A damped hyperbolic equation with critical exponent. Zbl 0815.35067
Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K.
125
1992
Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010
Choe, Hi Jun; Kim, Hyunseok
121
2003
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
119
2010
Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
118
1996
Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086
Cordier, Stéphane; Grenier, Emmanuel
113
2000
On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109
Desvillettes, Laurent; Villani, Cédric
113
2000
An elliptic equation with singular nonlinearity. Zbl 0634.35031
Diaz, J. I.; Morel, J. M.; Oswald, L.
109
1987
An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
109
1993
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
Cianchi, Andrea; Maz’ya, Vladimir G.
108
2011
Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014
Barron, E. N.; Jensen, R.
108
1990
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
106
2008
Almost exponential decay near Maxwellian. Zbl 1096.82010
Strain, Robert M.; Guo, Yan
105
2006
Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023
Hörmander, Lars
102
1983
Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014
Smith, Hart F.; Sogge, Christopher D.
101
2000
Convexity properties of solutions to some classical variational problems. Zbl 0508.49013
Caffarelli, Luis A.; Spruck, Joel
100
1982
On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030
Iório, Rafael José jun.
99
1986
Recovering a potential from partial Cauchy data. Zbl 0998.35063
Bukhgeim, Alexander L.; Uhlmann, Gunther
99
2002
A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131
Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe
98
2009
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040
Weinstein, Michael I.
97
1987
Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079
Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich
96
1994
Global uniqueness and stability in determining coefficients of wave equations. Zbl 0985.35108
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
95
2001
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
95
1993
\(W^{1,2}_ p\) solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045
Bramanti, Marco; Cerutti, M. Christina
95
1993
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022
Lions, P.-L.
93
1983
To the reconstruction of a Riemannian manifold via its spectral data (BC- method). Zbl 0812.58094
Belishev, Michael I.; Kurylev, Yaroslav V.
92
1992
The rate at which energy decays in a damped string. Zbl 0818.35072
Cox, Steven; Zuazua, Enrique
92
1994
Upper semicontinuity of attractors for small random perturbations of dynamical systems. Zbl 0917.35169
Caraballo, Tomás; Langa, José A.; Robinson, James C.
91
1998
On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022
Weinstein, Michael I.
91
1986
Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034
Mignot, Fulbert; Puel, Jean-Pierre
91
1980
On weak solutions for fluid-rigid structure interaction: Compressible and incompressible models. Zbl 0953.35118
Desjardins, B.; Esteban, M. J.
90
2000
Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019
Nicolaenko, B.; Scheurer, B.; Temam, R.
90
1989
Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system. Zbl 1515.35197
Leslie, Trevor M.; Tan, Changhui
5
2023
The Yang-Mills heat flow with random distributional initial data. Zbl 1512.35011
Cao, Sky; Chatterjee, Sourav
5
2023
Filamentation near Hill’s vortex. Zbl 1512.76023
Choi, Kyudong; Jeong, In-Jee
4
2023
A transmission problem with \((p, q)\)-Laplacian. Zbl 1512.35333
Colombo, Maria; Kim, Sunghan; Shahgholian, Henrik
3
2023
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation. Zbl 1528.35168
Rout, Andrew; Sohinger, Vedran
2
2023
Synchronization in a Kuramoto mean field game. Zbl 1527.35427
Carmona, Rene; Cormier, Quentin; Soner, H. Mete
2
2023
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications. Zbl 1515.35227
Cacciafesta, Federico; Séré, Éric; Zhang, Junyong
2
2023
Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit. Zbl 1518.35159
David, Noemi
2
2023
A Hamilton-Jacobi approach to evolution of dispersal. Zbl 1510.35026
Lam, King-Yeung; Lou, Yuan; Perthame, Benoît
2
2023
Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations. Zbl 1510.35088
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
2
2023
Recovery of a spatially-dependent coefficient from the NLS scattering map. Zbl 1528.35166
Murphy, Jason
1
2023
Asymptotics and scattering for wave Klein-Gordon systems. Zbl 1528.35146
Chen, Xuantao; Lindblad, Hans
1
2023
A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory. Zbl 1526.35084
Donninger, Roland; Ostermann, Matthias
1
2023
Propagation of velocity moments and uniqueness for the magnetized Vlasov-Poisson system. Zbl 07702172
Rege, Alexandre
1
2023
Analysis of the generalized Aw-Rascle model. Zbl 1523.35242
Chaudhuri, Nilasis; Gwiazda, Piotr; Zatorska, Ewelina
1
2023
Stable discontinuous stationary solutions to reaction-diffusion-ODE systems. Zbl 1518.35063
Cygan, Szymon; Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
1
2023
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case. Zbl 1518.35227
Capuzzo Dolcetta, Italo; Davini, Andrea
1
2023
Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group. Zbl 1518.35601
Cassano, Biagio; Franceschi, Valentina; Krejčiřík, David; Prandi, Dario
1
2023
On the motion of a small rigid body in a viscous compressible fluid. Zbl 07715999
Feireisl, Eduard; Roy, Arnab; Zarnescu, Arghir
1
2023
On the blow-up analysis at collapsing poles for solutions of singular Liouville-type equations. Zbl 1512.35179
Tarantello, Gabriella
1
2023
Mixed local and nonlocal elliptic operators: regularity and maximum principles. Zbl 1486.35412
Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio
41
2022
Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient. Zbl 1491.35071
Tello, J. Ignacio
12
2022
Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. Zbl 1489.35014
Jiang, Jie; Laurençot, Philippe; Zhang, Yanyan
10
2022
On classical solutions to the mean field game system of controls. Zbl 1492.35353
Kobeissi, Ziad
9
2022
Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate. Zbl 1492.35374
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
8
2022
Topological invariants for interface modes. Zbl 1496.82022
Bal, Guillaume
8
2022
Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms. Zbl 1484.35148
Knopf, Patrik; Signori, Andrea
8
2022
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. Zbl 1484.35255
Feng, Yuanyuan; Mazzucato, Anna L.
7
2022
Selection by vanishing common noise for potential finite state mean field games. Zbl 1490.91018
Cecchin, Alekos; Delarue, François
6
2022
Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary. Zbl 1496.35132
Hyder, Ali; Segatti, Antonio; Sire, Yannick; Wang, Changyou
5
2022
Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. Zbl 1490.35398
Carles, Rémi; Su, Chunmei
4
2022
Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations. Zbl 1490.35414
Forlano, Justin; Seong, Kihoon
4
2022
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds. Zbl 1505.35367
Hintz, Peter; Uhlmann, Gunther; Zhai, Jian
4
2022
The Hele-Shaw flow as the sharp interface limit of the Cahn-Hilliard equation with disparate mobilities. Zbl 1510.35025
Kroemer, Milan; Laux, Tim
4
2022
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange. Zbl 1504.35358
Mácha, Václav; Muha, Boris; Nečasová, Šárka; Roy, Arnab; Trifunović, Srđan
4
2022
Remarks on local regularity of axisymmetric solutions to the 3D Navier-Stokes equations. Zbl 1492.35219
Chen, Hui; Tsai, Tai-Peng; Zhang, Ting
4
2022
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits. Zbl 1504.35256
Hofmanová, Martina; Koley, Ujjwal; Sarkar, Utsab
4
2022
Sharp convergence rates for Darcy’s law. Zbl 1491.35347
Shen, Zhongwei
3
2022
Asymptotic stability of solutions to the Navier-Stokes-Fourier system driven by inhomogeneous Dirichlet boundary conditions. Zbl 1504.35316
Feireisl, Eduard; Kwon, Young-Sam
3
2022
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. Zbl 1484.35157
Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang
3
2022
Optimal relaxation of bump-like solutions of the one-dimensional Cahn-Hilliard equation. Zbl 1491.35031
Biesenbach, Sarah; Schubert, Richard; Westdickenberg, Maria G.
3
2022
Dimension reduction techniques in deterministic mean field games. Zbl 1490.91019
Lasry, Jean-Michel; Lions, Pierre-Louis; Seeger, Benjamin
2
2022
Convergence toward the steady state of a collisionless gas with Cercignani-Lampis boundary condition. Zbl 1491.35380
Bernou, Armand
2
2022
Carleman estimates and boundedness of associated multiplier operators. Zbl 1487.42024
Jeong, Eunhee; Kwon, Yehyun; Lee, Sanghyuk
2
2022
Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity. Zbl 1491.35006
Galanopoulou, Myrto; Vikelis, Andreas; Koumatos, Konstantinos
2
2022
Inhomogeneous global minimizers to the one-phase free boundary problem. Zbl 1491.35134
De Silva, Daniela; Jerison, David; Shahgholian, Henrik
2
2022
Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients. Zbl 1492.76033
Dong, Hongjie; Kim, Doyoon; Phan, Tuoc
2
2022
Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation. Zbl 1497.35429
de Laire, André; López-Martínez, Salvador
2
2022
Propagation of chaos for the Cucker-Smale systems under heavy tail communication. Zbl 1501.35415
Nguyen, Vinh; Shvydkoy, Roman
2
2022
Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion. Zbl 1484.35030
Ciomaga, Adina; Ghilli, Daria; Topp, Erwin
2
2022
Spectral flow for pair compatible equipartitions. Zbl 1484.35293
Helffer, Bernard; Sundqvist, Mikael Persson
2
2022
Randomized final-state problem for the Zakharov system in dimension three. Zbl 1508.35092
Spitz, Martin
2
2022
Global Strichartz estimates for an inhomogeneous Maxwell system. Zbl 1490.35474
D’Ancona, Piero; Schnaubelt, Roland
2
2022
About the wave equation outside two strictly convex obstacles. Zbl 1489.35165
Lafontaine, David
1
2022
The master equation in a bounded domain with Neumann conditions. Zbl 1491.91021
Ricciardi, Michele
1
2022
The Poisson equation involving surface measures. Zbl 1489.35294
Müller, Marius
1
2022
Hyperbolicity, irrationality exponents and the eta invariant. Zbl 1501.58010
Savale, Nikhil
1
2022
Hexagonal structures in 2D Navier-Stokes flows. Zbl 1506.35137
Brandolese, Lorenzo
1
2022
Spectral theory for Maxwell’s equations at the interface of a metamaterial. II: Limiting absorption, limiting amplitude principles and interface resonance. Zbl 1495.35166
Cassier, Maxence; Hazard, Christophe; Joly, Patrick
1
2022
Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. Zbl 1492.35141
De Nitti, Nicola; Fischer, Julian
1
2022
Dirichlet problem for weakly harmonic maps with rough data. Zbl 1492.35105
Yomgne, Gael Diebou; Koch, Herbert
1
2022
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces. Zbl 1506.35062
Pistoia, Angela; Vaira, Giusi
1
2022
On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds. Zbl 1506.35166
Lamy, Xavier; Lorent, Andrew; Peng, Guanying
1
2022
Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow. Zbl 1505.35376
Pappalettera, Umberto
1
2022
Taxis-driven persistent localization in a degenerate Keller-Segel system. Zbl 1505.35045
Stevens, Angela; Winkler, Michael
1
2022
Fractional Sobolev regularity for fully nonlinear elliptic equations. Zbl 1495.35065
Pimentel, Edgard A.; Santos, Makson S.; Teixeira, Eduardo V.
1
2022
A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients. Zbl 1518.35226
Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio
1
2022
Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown. Zbl 1484.35154
Ishii, Hitoshi; Wang, Kaizhi; Wang, Lin; Yan, Jun
1
2022
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286
Danchin, Raphaël; Tan, Jin
27
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
27
2021
Normalized solutions of mass supercritical Schrödinger equations with potential. Zbl 1496.35183
Bartsch, Thomas; Molle, Riccardo; Rizzi, Matteo; Verzini, Gianmaria
24
2021
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328
Diao, Huaian; Cao, Xinlin; Liu, Hongyu
23
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
19
2021
On corner scattering for operators of divergence form and applications to inverse scattering. Zbl 1469.35164
Cakoni, Fioralba; Xiao, Jingni
16
2021
Mild assumptions for the derivation of Einstein’s effective viscosity formula. Zbl 1469.76131
Gérard-Varet, David; Höfer, Richard M.
16
2021
Delayed blow-up by transport noise. Zbl 1477.60096
Flandoli, Franco; Galeati, Lucio; Luo, Dejun
13
2021
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data. Zbl 1477.35151
Alazard, Thomas; Nguyen, Quoc-Hung
12
2021
Determining the magnetic potential in the fractional magnetic Calderón problem. Zbl 1470.35435
Li, Li
11
2021
Attractors of the Einstein-Klein-Gordon system. Zbl 1462.35386
Fajman, David; Wyatt, Zoe
10
2021
On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations. Zbl 1491.35117
Côte, Raphaël; Friederich, Xavier
8
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
7
2021
A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation. Zbl 1477.35070
Caravenna, Laura; Crippa, Gianluca
6
2021
Weak Harnack inequalities for eigenvalues and constant rank theorems. Zbl 1484.35205
Székelyhidi, Gábor; Weinkove, Ben
6
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
6
2021
An optimization problem in thermal insulation with Robin boundary conditions. Zbl 1477.49021
Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina
6
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.
5
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.
5
2021
Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Zbl 1478.35161
Vasy, András
5
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
5
2021
Short-time existence of the \(\alpha\)-Dirac-harmonic map flow and applications. Zbl 1468.53059
Jost, Jürgen; Zhu, Jingyong
5
2021
Distance functions with dense singular sets. Zbl 1477.35069
Santilli, Mario
4
2021
A class of prescribed Weingarten curvature equations in Euclidean space. Zbl 1479.35503
Chen, Li; Shang, Agen; Tu, Qiang
4
2021
The Fuchsian approach to global existence for hyperbolic equations. Zbl 1479.35088
Beyer, Florian; Oliynyk, Todd A.; Olvera-Santamaría, J. Arturo
4
2021
Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150
Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni
4
2021
Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021
Huang, Xiaoqi; Sogge, Christopher D.
4
2021
Threshold scattering for the 2D radial cubic-quintic NLS. Zbl 1477.35245
Murphy, Jason
4
2021
Regularity estimates for the flow of BV autonomous divergence-free vector fields in \(\mathbb{R}^2\). Zbl 1484.37076
Bonicatto, Paolo; Marconi, Elio
4
2021
Stochastic PDEs via convex minimization. Zbl 1460.35403
Scarpa, Luca; Stefanelli, Ulisse
4
2021
Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime. Zbl 1462.35278
Arnaiz, Víctor; Castro, Ángel; Faraco, Daniel
4
2021
Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244
Bucur, Dorin; Henrot, Antoine; Michetti, Marco
4
2021
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Cited by 22,039 Authors

193 Papageorgiou, Nikolaos S.
161 Wei, Juncheng
138 Rădulescu, Vicenţiu D.
129 Tang, Xianhua
119 Guo, Boling
116 Winkler, Michael
111 Alves, Claudianor Oliveira
110 Mu, Chunlai
101 Vazquez, Juan Luis
98 Feireisl, Eduard
97 Uhlmann, Gunther Alberto
95 Carrillo de la Plata, José Antonio
90 Valdinoci, Enrico
85 Tan, Zhong
84 Helffer, Bernard
84 Ruzhansky, Michael V.
83 Dong, Hongjie
81 Byun, Sun-Sig
75 Rossi, Julio Daniel
72 Wang, Zhi-Qiang
71 Figueiredo, Giovany Malcher
71 Perthame, Benoît
68 Coclite, Giuseppe Maria
68 Zou, Wenming
67 Hayashi, Nakao
67 Kenig, Carlos Eduardo
67 Wang, Shu
66 Do Ó, João M. Bezerra
66 Zuazua, Enrique
65 Lin, Chang-Shou
64 Masmoudi, Nader
64 Yamamoto, Masahiro
63 Boccardo, Lucio
63 Fan, Jishan
63 Röckner, Michael
62 Dolbeault, Jean
62 Lassas, Matti J.
62 Tang, Chun-Lei
62 Yin, Zhaoyang
61 Lu, Guozhen
60 Dipierro, Serena
60 Naumkin, Pavel Ivanovich
59 Ambrosio, Vincenzo
59 Mingione, Giuseppe
59 Sire, Yannick
58 Pistoia, Angela
58 Yao, Zhengan
56 Cao, Daomin
55 Caffarelli, Luis Ángel
55 Himonas, A. Alexandrou
55 Miyagaki, Olimpio Hiroshi
55 Peng, Shuangjie
55 Xin, Zhouping
55 Zhang, Binlin
54 Fang, Daoyuan
54 Nakamura, Gen
54 Wu, Jiahong
54 Zhang, Zhifei
53 Chae, Dongho
53 Díaz Díaz, Jesús Ildefonso
53 Lions, Pierre-Louis
53 Zheng, Jiashan
52 Ozawa, Tohru
52 Repovš, Dušan D.
52 Yang, Dachun
51 Del Pino, Manuel A.
51 Kang, Kyungkeun
50 Liu, Hongyu
50 Vega, Luis
50 Zhang, Ping
49 Bogachev, Vladimir Igorevich
49 Garofalo, Nicola
49 Giga, Yoshikazu
49 Karlsen, Kenneth Hvistendahl
49 Lasiecka, Irena
49 Miao, Changxing
49 Shaposhnikov, Stanislav V.
48 Guo, Yuxia
48 Sjöstrand, Johannes
48 Zhang, Ting
48 Zhao, Huijiang
48 Zheng, Shenzhou
47 Chen, Gui-Qiang G.
47 Yin, Jingxue
47 Zhang, Jian
47 Zheng, Pan
46 Chen, Haibo
46 Ferreira, Lucas Catão de Freitas
46 Figalli, Alessio
46 Jüngel, Ansgar
46 da Silva Montenegro, Marcelo
46 Titi, Edriss Saleh
46 Yang, Tong
46 Zhu, Changjiang
45 Cianchi, Andrea
45 Li, Yongsheng
45 Ponce, Gustavo
45 Shahgholian, Henrik
44 Desvillettes, Laurent
44 Di Ruvo, Lorenzo
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Cited in 784 Journals

2,980 Journal of Differential Equations
2,107 Journal of Mathematical Analysis and Applications
1,725 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1,375 Communications in Partial Differential Equations
1,050 Journal of Functional Analysis
967 Calculus of Variations and Partial Differential Equations
864 Archive for Rational Mechanics and Analysis
734 Journal of Mathematical Physics
702 Discrete and Continuous Dynamical Systems
659 Communications in Mathematical Physics
626 SIAM Journal on Mathematical Analysis
583 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
579 Transactions of the American Mathematical Society
535 Communications on Pure and Applied Analysis
533 Journal de Mathématiques Pures et Appliquées. Neuvième Série
512 Applicable Analysis
462 ZAMP. Zeitschrift für angewandte Mathematik und Physik
459 Nonlinear Analysis. Real World Applications
457 Mathematical Methods in the Applied Sciences
456 Proceedings of the American Mathematical Society
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385 Advances in Mathematics
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304 Discrete and Continuous Dynamical Systems. Series B
288 Comptes Rendus. Mathématique. Académie des Sciences, Paris
287 Nonlinearity
280 Boundary Value Problems
278 Communications in Contemporary Mathematics
262 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
253 Journal of Mathematical Fluid Mechanics
239 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
220 Physica D
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213 Potential Analysis
209 Mathematische Nachrichten
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201 Computers & Mathematics with Applications
196 Duke Mathematical Journal
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193 Discrete and Continuous Dynamical Systems. Series S
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192 Journal of Mathematical Sciences (New York)
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188 Acta Mathematica Sinica. English Series
182 Science China. Mathematics
181 Communications on Pure and Applied Mathematics
180 Advanced Nonlinear Studies
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175 Journal d’Analyse Mathématique
172 Advances in Nonlinear Analysis
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156 Annales Henri Poincaré
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139 Asymptotic Analysis
132 Manuscripta Mathematica
130 Revista Matemática Iberoamericana
126 Inverse Problems
126 Inventiones Mathematicae
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120 Journal of Computational and Applied Mathematics
118 Journal of the European Mathematical Society (JEMS)
115 Mediterranean Journal of Mathematics
110 Kinetic and Related Models
109 Chinese Annals of Mathematics. Series B
109 Electronic Journal of Differential Equations (EJDE)
109 Journal of Pseudo-Differential Operators and Applications
107 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
105 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
104 Acta Mathematicae Applicatae Sinica. English Series
103 The Journal of Fourier Analysis and Applications
102 Monatshefte für Mathematik
101 Stochastic Processes and their Applications
92 Numerische Mathematik
90 SIAM Journal on Applied Mathematics
90 Inverse Problems and Imaging
88 Zeitschrift für Analysis und ihre Anwendungen
85 Mathematics of Computation
85 Journal of Scientific Computing
84 Topological Methods in Nonlinear Analysis
83 Rocky Mountain Journal of Mathematics
83 Bulletin des Sciences Mathématiques
81 Evolution Equations and Control Theory
80 Mathematics in Engineering
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77 Letters in Mathematical Physics
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72 Integral Equations and Operator Theory
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