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Author ID: vazquez.juan-luis Recent zbMATH articles by "Vazquez, Juan Luis"
Published as: Vázquez, Juan Luis; Vazquez, Juan Luis; Vazquez, Juan L.; Vazquez, J. L.; Vázquez, J. L.; Vázquez, Juan-Luis; Vázquez, Juan L.; Vazquez, Juan-Luis; Vázquez Suárez, Juan Luis; Vasquez, Juan Luis; Vásquez, Juan Luis; Vazquez, Jean Luis
Further Spellings: Vazquez Suárez, Juan Luis
Homepage: http://verso.mat.uam.es/~juanluis.vazquez/
External Links: MGP · Wikidata · ResearchGate · IdRef · theses.fr
all top 5

Co-Authors

56 single-authored
28 Galaktionov, Victor Aleksandrovich
21 Bonforte, Matteo
14 Quirós Gracián, Fernando
12 Kamin, Shoshana
11 Alonso Rodríguez, Ana
11 de Pablo, Arturo
11 Grillo, Gabriele
11 Peletier, Lambertus Adrianus
10 Carrillo de la Plata, José Antonio
9 del Teso, Félix
8 Caffarelli, Luis Ángel
8 Gómez-Castro, David
7 Stan, Diana
7 Wolanski, Noemi I.
7 Zuazua, Enrique
6 Aronson, Donald G.
6 Esteban, Juan Ramón
6 Lederman, Claudia B.
6 Reyes, Guillermo
6 Shmarev, Sergei I.
5 Ferreira, Raúl
5 Herrero, Miguel Ángel
5 Hulshof, Josephus
5 Iagar, Razvan Gabriel
5 Sire, Yannick
5 Véron, Laurent
5 Vitillaro, Enzo
4 Barenblatt, Grigory Isaakovich
4 Boccardo, Lucio
4 Chasseigne, Emmanuel
4 Chaves, Manuela
4 Fila, Marek
4 Lee, Ki-Ahm
4 Volzone, Bruno
4 Winkler, Michael
4 Yarur, Cecilia S.
3 Audrito, Alessandro
3 Dolbeault, Jean
3 Escobedo Martínez, Miguel
3 Figalli, Alessio
3 Gallouët, Thierry
3 Lacey, Andrew A.
3 McLeod, John Bryce
3 Zographopoulos, Nikolaos B.
2 Bénilan, Philippe
2 Blanchet, Adrien
2 Brändle, Cristina
2 Diaz Diaz, Jesus Ildefonso
2 Endal, Jørgen
2 Gil, Omar
2 Kersner, Robert
2 Laurençot, Philippe
2 Levine, Howard Allen
2 Mizoguchi, Noriko
2 Muratori, Matteo
2 Peral Alonso, Ireneo
2 Perthame, Benoît
2 Portilheiro, Manuel
2 Rossi, Julio Daniel
2 Salvarani, Francesco
2 Segatti, Antonio
2 Soler, Juan S.
2 Walias, Magdalena
1 Álvarez, Gabriel
1 Amadori, Anna Lisa
1 Bernis, Francisco
1 Bertsch, Michiel
1 Brasco, Lorenzo
1 Brézis, Haïm
1 Cabré, Xavier
1 Chan, Hardy
1 Chorin, Alexandre Joel
1 Comparini, Elena
1 Conley, Elizabeth
1 Cortázar, Carmen
1 Daskalopoulos, Panagiota
1 Del Pino, Manuel A.
1 Dold, James W.
1 Droniou, Jérôme
1 Elgueta, Manuel
1 Farina, Alberto
1 Feo, Filomena
1 Friedman, Avner
1 Garcia-Azorero, Jesús
1 Gariepy, Ron
1 Gazzola, Filippo
1 Gerbi, Stéphane
1 Goldenfeld, Nigel
1 Huang, Yong
1 Ingerman, E. A.
1 Kienzler, Clemens
1 King, John Robert
1 Koch, Herbert
1 Leoni, Giovanni
1 Liñán, Amable
1 Lions, Pierre-Louis
1 Lu, Peng
1 Mannucci, Paola
1 Markus, Lawrence
1 Martínez Alonso, Luis
...and 27 more Co-Authors
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Serials

16 Archive for Rational Mechanics and Analysis
16 Communications in Partial Differential Equations
14 Journal of Differential Equations
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Transactions of the American Mathematical Society
9 Comptes Rendus de l’Académie des Sciences. Série I
9 Calculus of Variations and Partial Differential Equations
8 Discrete and Continuous Dynamical Systems
7 Indiana University Mathematics Journal
7 SIAM Journal on Mathematical Analysis
7 Advances in Differential Equations
6 Advances in Mathematics
6 European Journal of Applied Mathematics
6 Journal of Evolution Equations
5 Journal of Functional Analysis
5 Differential and Integral Equations
5 Interfaces and Free Boundaries
5 Journal of the European Mathematical Society (JEMS)
4 Communications on Pure and Applied Mathematics
4 Journal of Mathematical Analysis and Applications
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Mathematische Annalen
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications
3 Manuscripta Mathematica
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Revista Matemática Iberoamericana
3 Electronic Journal of Differential Equations (EJDE)
3 Advanced Nonlinear Studies
3 Communications on Pure and Applied Analysis
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 Chinese Annals of Mathematics. Series B
2 Asymptotic Analysis
2 Proceedings of the National Academy of Sciences of the United States of America
2 NoDEA. Nonlinear Differential Equations and Applications
2 Communications in Contemporary Mathematics
2 La Gaceta de la Real Sociedad Matemática Española
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Nonlinear Analysis
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Nonlinearity
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Collectanea Mathematica
1 Duke Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Le Matematiche
1 Monatshefte für Mathematik
1 Portugaliae Mathematica
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Revista de la Unión Matemática Argentina
1 Semigroup Forum
1 Soviet Mathematics. Doklady
1 Forum Mathematicum
1 Revista Matemática de la Universidad Complutense de Madrid
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 SIAM Journal on Applied Mathematics
1 Notices of the American Mathematical Society
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 European Mathematical Society Newsletter
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Fractional Calculus & Applied Analysis
1 Discrete and Continuous Dynamical Systems. Series B
1 Milan Journal of Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Contemporary Mathematics
1 The IMA Volumes in Mathematics and its Applications
1 Lecture Notes in Mathematics
1 Oxford Lecture Series in Mathematics and its Applications
1 Networks and Heterogeneous Media
1 Discrete and Continuous Dynamical Systems. Series S
1 Analysis & PDE
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Philosophical Transactions A. Royal Society of London
1 Progress in Nonlinear Differential Equations and Their Applications
1 Oxford Mathematical Monographs

Publications by Year

Citations contained in zbMATH Open

270 Publications have been cited 6,754 times in 3,973 Documents Cited by Year
A strong maximum principle for some quasilinear elliptic equations. Zbl 0561.35003
Vázquez, J. L.
567
1984
An \(L^ 1\)-theory of existence and uniqueness of solutions of nonlinear elliptic equations. Zbl 0866.35037
Bénilan, Philippe; Boccardo, Lucio; Gallouët, Thierry; Gariepy, Ron; Pierre, Michel; Vazquez, Juan Luis
388
1995
Blow-up solutions of some nonlinear elliptic problems. Zbl 0894.35038
Brézis, Haïm; Vázquez, Juan Luis
261
1997
The porous medium equation. Mathematical theory. Zbl 1107.35003
Vázquez, Juan Luis
201
2007
The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential. Zbl 0953.35053
Vazquez, Juan Luis; Zuazua, Enrike
187
2000
The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057
Galaktionov, Victor A.; Vázquez, Juan L.
150
2002
Continuation of blowup solutions of nonlinear heat equations in several space dimensions. Zbl 0874.35057
Galaktionov, Victor A.; Vazquez, Juan L.
146
1997
Smoothing and decay estimates for nonlinear diffusion equations. Equations of porous medium type. Zbl 1113.35004
Vázquez, Juan Luis
122
2006
On the equation of turbulent filtration in one-dimensional porous media. Zbl 0613.76102
Esteban, Juan R.; Vazquez, Juan L.
111
1986
A fractional porous medium equation. Zbl 1208.26016
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
102
2011
Nonlinear porous medium flow with fractional potential pressure. Zbl 1264.76105
Caffarelli, Luis; Vazquez, Juan Luis
98
2011
A general fractional porous medium equation. Zbl 1248.35220
De Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
91
2012
Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators. Zbl 1290.26010
Vázquez, Juan-Luis
82
2014
Nonlinear diffusion with fractional Laplacian operators. Zbl 1248.35223
Vázquez, Juan Luis
78
2012
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
75
2015
Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data. Zbl 0810.35021
Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis
72
1993
Fundamental solutions and asymptotic behaviour for the p-Laplacian equations. Zbl 0699.35158
Kamin, S.; Vázquez, J. L.
71
1988
Asymptotic behaviour for the porous medium equation posed in the whole space. Zbl 1036.35108
Vázquez, Juan Luis
69
2003
Asymptotics of the fast diffusion equation via entropy estimates. Zbl 1178.35214
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
65
2009
Travelling waves and finite propagation in a reaction-diffusion equation. Zbl 0784.35045
de Pablo, Arturo; Vazquez, Juan Luis
62
1991
The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis
59
2014
Quantitative local and global a priori estimates for fractional nonlinear diffusion equations. Zbl 1288.35127
Bonforte, Matteo; Vázquez, Juan Luis
58
2014
Lipschitz continuity of solutions and interfaces of the N-dimensional porous medium equation. Zbl 0644.35058
Caffarelli, L. A.; Vazquez, J. L.; Wolanski, N. I.
57
1987
Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Zbl 0807.35059
Escobedo, Miguel; Vazquez, Juan Luis; Zuazua, Enrike
51
1993
A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains. Zbl 1334.35382
Bonforte, Matteo; Vázquez, Juan Luis
51
2015
Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity. Zbl 0683.76073
Esteban, Juan R.; Vazquez, Juan L.
51
1988
A free-boundary problem for the heat equation arising in flame propagation. Zbl 0814.35149
Caffarelli, Luis A.; Vázquez, Juan L.
50
1995
On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term. Zbl 0821.35080
Peral, I.; Vazquez, J. L.
50
1995
A nonlinear heat equation with singular diffusivity. Zbl 0686.35066
Esteban, Juan R.; Rodríguez, Ana; Vázquez, Juan L.
50
1988
Theory of extended solutions for fast-diffusion equations in optimal classes of data. Radiation from singularities. Zbl 1018.35048
Chasseigne, Emmanuel; Vazquez, Juan Luis
49
2002
Regularity of solutions of the fractional porous medium flow. Zbl 1292.35312
Caffarelli, Luis A.; Soria, Fernando; Vázquez, Juan Luis
49
2013
Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type. Zbl 1297.35279
Vázquez, Juan Luis
48
2014
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. Zbl 1256.35026
Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
47
2010
Nonexistence of solutions for nonlinear heat equations of fast-diffusion type. Zbl 0694.35088
Vazquez, Juan Luis
44
1992
Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds. Zbl 1156.58015
Lu, Peng; Ni, Lei; Vázquez, Juan-Luis; Villani, Cédric
43
2009
Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations. Zbl 1184.35083
Bonforte, Matteo; Vázquez, Juan Luis
43
2010
Asymptotic behaviour of a porous medium equation with fractional diffusion. Zbl 1211.35043
Caffarelli, Luis; Vázquez, Juan-Luis
43
2011
On the propagation properties of a nonlinear degenerate parabolic equation. Zbl 0516.35041
Herrero, Miguel A.; Vazquez, Juan Luis
42
1982
Optimal existence and uniqueness theory for the fractional heat equation. Zbl 1364.35416
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
41
2017
Fine asymptotics for fast diffusion equations. Zbl 1036.35100
Carrillo, José A.; Vázquez, Juan L.
38
2003
Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach. Zbl 0755.35010
Galaktionov, Victor A.; Vazquez, Juan L.
38
1991
Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium. Zbl 0528.76096
Vazquez, Juan Luis
38
1983
Large-time behavior for a simplified 1D model of fluid-solid interaction. Zbl 1071.74017
Vázquez, Juan Luis; Zuazua, Enrique
36
2003
Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation. Zbl 1108.35097
Lee, Ki-Ahm; Petrosyan, Arshak; Vázquez, Juan Luis
36
2006
An introduction to the mathematical theory of the porous medium equation. Zbl 0765.76086
Vazquez, Jean Luis
36
1992
Global positivity estimates and Harnack inequalities for the fast diffusion equation. Zbl 1107.35063
Bonforte, Matteo; Vazquez, Juan Luis
35
2006
Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system. Zbl 0873.35066
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis
33
1996
Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem. Zbl 0498.35013
Herrero, M. A.; Vazquez, J. L.
33
1981
A diffusion-convection equation in several space dimensions. Zbl 0791.35059
Escobedo, Miguel; Vázquez, Juan Luis; Zuazua, Enrike
32
1993
Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations. Zbl 0827.35055
Galaktionov, Victor A.; Vazquez, Juan L.
32
1995
Rate of approach to a singular steady state in quasilinear reaction-diffusion equations. Zbl 0920.35080
Dold, James W.; Galaktionov, Victor A.; Lacey, Andrew A.; Vázquez, Juan Luis
32
1998
Fast diffusion flow on manifolds of nonpositive curvature. Zbl 1139.35065
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
31
2008
The Dirichlet problem for the fractional \(p\)-Laplacian evolution equation. Zbl 1348.35042
Vázquez, Juan Luis
30
2016
Heat equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1213.35243
Vázquez, Juan Luis; Vitillaro, Enzo
30
2011
The porous medium equation. New contractivity results. Zbl 1147.35050
Vázquez, J. L.
29
2005
Fundamental solution and long time behavior of the porous medium equation in hyperbolic space. Zbl 1327.35213
Vázquez, Juan Luis
29
2015
A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators. Zbl 1290.35316
Serfaty, Sylvia; Vázquez, Juan Luis
29
2014
Hardy-Poincaré inequalities and applications to nonlinear diffusions. Zbl 1190.35119
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan-Luis
28
2007
The mathematical theories of diffusion: nonlinear and fractional diffusion. Zbl 06842163
Vázquez, Juan Luis
28
2017
The one-dimensional nonlinear heat equation with absorption: Regularity of solutions and interfaces. Zbl 0633.35037
Herrero, Miguel A.; Vázquez, Juan L.
27
1987
On the Barenblatt equation of elasto-plastic filtration. Zbl 0737.73048
Kamin, S.; Peletier, L. A.; Vazquez, J. L.
27
1991
Classical solutions and higher regularity for nonlinear fractional diffusion equations. Zbl 1371.35331
Vázquez, Juan Luis; de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
27
2017
Geometrical properties of solutions of the porous medium equation for large times. Zbl 1080.35037
Lee, Ki-Ahm; Vázquez, J. L.
27
2003
Entropy solutions for diffusion-convection equations with partial diffusivity. Zbl 0803.35084
Escobedo, M.; Vazquez, J. L.; Zuazua, Enrike
26
1994
Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type. Zbl 1290.35317
Vázquez, Juan Luis; Volzone, Bruno
26
2014
Extinction for a quasilinear heat equation with absorption. I: Technique of intersection comparison. Zbl 0831.35073
Galaktionov, Victor A.; Vazquez, Juan L.
25
1994
Heat equation with dynamical boundary conditions of reactive type. Zbl 1168.35375
Vázquez, Juan Luis; Vitillaro, Enzo
25
2008
Classification of singular solutions of a nonlinear heat equation. Zbl 0701.35083
Kamin, S.; Peletier, L. A.; Vazquez, J. L.
25
1989
Extinction for a quasilinear heat equation with absorption. II: A dynamical systems approach. Zbl 0831.35074
Galaktionov, Victor A.; Vazquez, Juan L.
24
1994
The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains. Zbl 1157.58007
Reyes, Guillermo; Vázquez, Juan-Luis
24
2008
Domain of existence and blowup for the exponential reaction-diffusion equation. Zbl 0928.35080
Vazquez, Juan Luis
24
1999
An a priori interior estimate for the solutions of a non-linear problem representing weak diffusion. Zbl 0446.35018
Vazquez, Juan Luis
24
1981
Removable singularities of some strongly nonlinear elliptic equations. Zbl 0452.35034
Vázquez, Juan-Luis; Véron, Laurent
24
1980
Asymptotic behaviour of solutions of the porous medium equation with changing sign. Zbl 0755.35011
Kamin, Shoshana; Vazquez, Juan Luis
24
1991
Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space. Zbl 1262.35109
Bonforte, Matteo; Gazzola, Filippo; Grillo, Gabriele; Vázquez, Juan Luis
24
2013
The Fisher-KPP equation with nonlinear fractional diffusion. Zbl 1323.35088
Stan, Diana; Vázquez, Juan Luis
24
2014
On a semilinear equation in \({\mathbb{R}}^ 2\) involving bounded measures. Zbl 0536.35025
Vazquez, Juan L.
24
1983
Behaviour near extinction for the fast diffusion equation on bounded domains. Zbl 1241.35013
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
24
2012
The Dirichlet problem for the porous medium equation in bounded domains. Asymptotic behavior. Zbl 1055.35024
Vazquez, Juan Luis
23
2004
Special fast diffusion with slow asymptotics: Entropy method and flow on a Riemannian manifold. Zbl 1209.35069
Bonforte, Matteo; Grillo, Gabriele; Vázquez, Juan Luis
23
2010
Classification of blow-up with nonlinear diffusion and localized reaction. Zbl 1110.35034
Ferreira, Raúl; De Pablo, Arturo; Vazquez, Juan Luis
23
2006
The porous medium equation on Riemannian manifolds with negative curvature. the large-time behaviour. Zbl 1437.35428
Grillo, Gabriele; Muratori, Matteo; Vázquez, Juan Luis
23
2017
Asymptotics of the fast-diffusion equation with critical exponent. Zbl 0954.35094
Galaktionov, Victor A.; Peletier, Lambertus A.; Vazquez, Juan L.
22
2000
Isolated singularities of some semilinear elliptic equations. Zbl 0549.35043
Vázquez, Juan Luis; Véron, Laurent
22
1985
Long time behavior for the inhomogeneous PME in a medium with rapidly decaying density. Zbl 1196.35052
Kamin, Shoshana; Reyes, Guillermo; Vázquez, Juan Luis
22
2010
Local smoothing effects, positivity, and Harnack inequalities for the fast \(p\)-Laplacian equation. Zbl 1198.35136
Bonforte, Matteo; Iagar, Razvan Gabriel; Vázquez, Juan Luis
22
2010
Long time behavior for the inhomogeneous PME in a medium with slowly decaying density. Zbl 1169.35313
Reyes, Guillermo; Vázquez, Juan-Luis
22
2009
The Cauchy problem for the inhomogeneous porous medium equation. Zbl 1124.35035
Reyes, Guillermo; Vazquez, Juan Luis
22
2006
Radial equivalence for the two basic nonlinear degenerate diffusion equations. Zbl 1139.35067
Iagar, Razvan Gabriel; Sánchez, Ariel; Vázquez, Juan Luis
22
2008
The interfaces of one-dimensional flows in porous media. Zbl 0524.35060
Vazquez, Juan L.
22
1984
Lack of collision in a simplified 1D model for fluid-solid interaction. Zbl 1387.35634
Vázquez, Juan Luis; Zuazua, Enrique
22
2006
Extinction behaviour for fast diffusion equations with absorption. Zbl 0974.35064
Ferreira, Raúl; Vazquez, Juan Luis
21
2001
Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations. Zbl 0884.35014
Galaktionov, Victor A.; Vazquez, Juan L.
21
1996
Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media. Zbl 0642.76108
Aronson, D. G.; Vazquez, J. L.
21
1987
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
21
2018
A well posed problem in singular Fickian diffusion. Zbl 0695.76043
Rodríguez, Ana; Vázquez, Juan Luis
21
1990
The balance between strong reaction and slow diffusion. Zbl 0705.35072
de Pablo, Arturo; Vazquez, Juan Luis
21
1990
Complexity of large time behaviour of evolution equations with bounded data. Zbl 1002.35020
Vázquez, J. L.; Zuazua, E.
21
2002
Symmetrization and mass comparison for degenerate nonlinear parabolic and related elliptic equations. Zbl 1085.35083
Vázquez, Juan Luis
20
2005
Fractional nonlinear degenerate diffusion equations on bounded domains. I: Existence, uniqueness and upper bounds. Zbl 1328.35009
Bonforte, Matteo; Vázquez, Juan Luis
20
2016
Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility. Zbl 1484.35283
Carrillo, J. A.; Gómez-Castro, D.; Vázquez, J. L.
1
2022
Growing solutions of the fractional \(p\)-Laplacian equation in the fast diffusion range. Zbl 1476.35320
Vázquez, Juan Luis
1
2022
Infinite-time concentration in aggregation-diffusion equations with a given potential. Zbl 1481.35048
Carrillo, Jose A.; Gómez-Castro, David; Vázquez, Juan Luis
1
2022
Characterisation of homogeneous fractional Sobolev spaces. Zbl 1471.46030
Brasco, Lorenzo; Gómez-Castro, David; Vázquez, Juan Luis
6
2021
The fractional \(p\)-Laplacian evolution equation in \(\mathbb{R}^N\) in the sublinear case. Zbl 1471.35312
Vázquez, Juan Luis
4
2021
The one-phase fractional Stefan problem. Zbl 1473.80010
del Teso, Félix; Endal, Jørgen; Vázquez, Juan Luis
4
2021
Blow-up phenomena in nonlocal eigenvalue problems: when theories of \(L^1\) and \(L^2\) meet. Zbl 1458.35070
Chan, Hardy; Gómez-Castro, David; Vázquez, Juan Luis
3
2021
Three representations of the fractional \(p\)-Laplacian: semigroup, extension and Balakrishnan formulas. Zbl 07414209
del Teso, Félix; Gómez-Castro, David; Vázquez, Juan Luis
2
2021
Anisotropic \(p\)-Laplacian evolution of fast diffusion type. Zbl 1472.35234
Feo, Filomena; Vázquez, Juan Luis; Volzone, Bruno
1
2021
The evolution fractional p-Laplacian equation in \(\mathbb{R}^N\). Fundamental solution and asymptotic behaviour. Zbl 1447.35205
Vázquez, J. L.
9
2020
On a fractional thin film equation. Zbl 1437.35429
Segatti, Antonio; Vázquez, Juan Luis
5
2020
On the two-phase fractional Stefan problem. Zbl 1434.80006
del Teso, Félix; Endal, Jørgen; Vázquez, Juan Luis
3
2020
Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications. Zbl 1476.35130
Parviainen, Mikko; Vázquez, Juan Luis
2
2020
Estimates on translations and Taylor expansions in fractional Sobolev spaces. Zbl 1462.46038
del Teso, Félix; Gómez-Castro, David; Vázquez, Juan Luis
2
2020
Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains. Zbl 1439.35257
Audrito, Alessandro; Vázquez, Juan Luis
1
2020
Existence of weak solutions for a general porous medium equation with nonlocal pressure. Zbl 1437.35430
Stan, Diana; del Teso, Félix; Vázquez, Juan Luis
10
2019
The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case. Zbl 1411.35261
Grillo, Gabriele; Muratori, Matteo; Vázquez, Juan Luis
8
2019
The fractional Schrödinger equation with singular potential and measure data. Zbl 1425.35212
Gómez-Castro, David; Vázquez, Juan Luis
6
2019
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
21
2018
The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach. Zbl 1402.35093
Díaz, J. I.; Gómez-Castro, D.; Vázquez, J. L.
13
2018
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations. Zbl 1392.35144
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
8
2018
Asymptotic behaviour for the fractional heat equation in the Euclidean space. Zbl 1388.35216
Vázquez, Juan Luis
6
2018
Flatness implies smoothness for solutions of the porous medium equation. Zbl 1403.35065
Kienzler, Clemens; Koch, Herbert; Vázquez, Juan Luis
6
2018
Porous medium equation with nonlocal pressure. Zbl 1406.35302
Stan, Diana; del Teso, Félix; Vázquez, Juan Luis
5
2018
Porous medium equation with nonlocal pressure in a bounded domain. Zbl 1409.35224
Nguyen, Quoc-Hung; Vázquez, Juan Luis
4
2018
Optimal existence and uniqueness theory for the fractional heat equation. Zbl 1364.35416
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
41
2017
The mathematical theories of diffusion: nonlinear and fractional diffusion. Zbl 06842163
Vázquez, Juan Luis
28
2017
Classical solutions and higher regularity for nonlinear fractional diffusion equations. Zbl 1371.35331
Vázquez, Juan Luis; de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
27
2017
The porous medium equation on Riemannian manifolds with negative curvature. the large-time behaviour. Zbl 1437.35428
Grillo, Gabriele; Muratori, Matteo; Vázquez, Juan Luis
23
2017
The Fisher-KPP problem with doubly nonlinear diffusion. Zbl 1386.35197
Audrito, Alessandro; Vázquez, Juan Luis
15
2017
The Fisher-KPP problem with doubly nonlinear “fast” diffusion. Zbl 1365.35065
Audrito, Alessandro; Vázquez, Juan Luis
12
2017
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application. Zbl 06731394
Sire, Yannick; Vázquez, Juan Luis; Volzone, Bruno
8
2017
Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds. Zbl 1379.35168
Daskalopoulos, Panagiota; Sire, Yannick; Vázquez, Juan-Luis
5
2017
The Dirichlet problem for the fractional \(p\)-Laplacian evolution equation. Zbl 1348.35042
Vázquez, Juan Luis
30
2016
Fractional nonlinear degenerate diffusion equations on bounded domains. I: Existence, uniqueness and upper bounds. Zbl 1328.35009
Bonforte, Matteo; Vázquez, Juan Luis
20
2016
Finite and infinite speed of propagation for porous medium equations with nonlocal pressure. Zbl 1379.35253
Stan, Diana; del Teso, Félix; Vázquez, Juan Luis
15
2016
Regularity of solutions of the fractional porous medium flow with exponent \(1/2\). Zbl 1335.35273
Caffarelli, L.; Vázquez, J. L.
10
2016
Non-existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations. Zbl 1357.35184
Bonforte, Matteo; Segatti, Antonio; Vázquez, Juan Luis
6
2016
Existence of maximal solutions for some very singular nonlinear fractional diffusion equations in 1D. Zbl 1360.35089
Vázquez, Juan Luis
4
2016
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
75
2015
A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains. Zbl 1334.35382
Bonforte, Matteo; Vázquez, Juan Luis
51
2015
Fundamental solution and long time behavior of the porous medium equation in hyperbolic space. Zbl 1327.35213
Vázquez, Juan Luis
29
2015
Optimal estimates for fractional fast diffusion equations. Zbl 1327.35417
Vázquez, Juan Luis; Volzone, Bruno
16
2015
Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure. Zbl 1307.35311
Carrillo, J. A.; Huang, Y.; Santos, M. C.; Vázquez, J. L.
13
2015
Transformations of self-similar solutions for porous medium equations of fractional type. Zbl 1383.35248
Stan, Diana; del Teso, Félix; Vázquez, Juan Luis
10
2015
Some free boundary problems involving non-local diffusion and aggregation. Zbl 1353.35320
Carrillo, José Antonio; Vázquez, Juan Luis
7
2015
The mesa problem for the fractional porous medium equation. Zbl 1327.35214
Vázquez, Juan Luis
4
2015
Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators. Zbl 1290.26010
Vázquez, Juan-Luis
82
2014
The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis
59
2014
Quantitative local and global a priori estimates for fractional nonlinear diffusion equations. Zbl 1288.35127
Bonforte, Matteo; Vázquez, Juan Luis
58
2014
Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type. Zbl 1297.35279
Vázquez, Juan Luis
48
2014
A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators. Zbl 1290.35316
Serfaty, Sylvia; Vázquez, Juan Luis
29
2014
Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type. Zbl 1290.35317
Vázquez, Juan Luis; Volzone, Bruno
26
2014
The Fisher-KPP equation with nonlinear fractional diffusion. Zbl 1323.35088
Stan, Diana; Vázquez, Juan Luis
24
2014
Finite and infinite speed of propagation for porous medium equations with fractional pressure. (Vitesse de propagation finie et infinie pour des équations du milieu poreux avec une pression fractionnaire.) Zbl 1284.35352
Stan, Diana; del Teso, Félix; Vázquez, Juan Luis
17
2014
Classical solutions for a logarithmic fractional diffusion equation. Zbl 1322.35167
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
12
2014
Progress in the theory of nonlinear diffusion: asymptotics via entropy methods. Zbl 1327.35171
Vázquez, Juan Luis
1
2014
Regularity of solutions of the fractional porous medium flow. Zbl 1292.35312
Caffarelli, Luis A.; Soria, Fernando; Vázquez, Juan Luis
49
2013
Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space. Zbl 1262.35109
Bonforte, Matteo; Gazzola, Filippo; Grillo, Gabriele; Vázquez, Juan Luis
24
2013
Asymptotic behaviour of the doubly nonlinear diffusion equation \(u_t=\Delta_pu^m\) on bounded domains. Zbl 1258.35130
Stan, Diana; Vázquez, Juan Luis
17
2013
Degenerate homogeneous parabolic equations associated with the infinity-Laplacian. Zbl 1262.35137
Portilheiro, Manuel; Vázquez, Juan Luis
8
2013
Hardy type inequalities and hidden energies. Zbl 1277.35017
Vázquez, Juan Luis; Zographopoulos, Nikolaos B.
4
2013
Functional aspects of the Hardy inequality: appearance of a hidden energy. Zbl 1364.35172
Vázquez, J. L.; Zographopoulos, N. B.
1
2013
A general fractional porous medium equation. Zbl 1248.35220
De Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
91
2012
Nonlinear diffusion with fractional Laplacian operators. Zbl 1248.35223
Vázquez, Juan Luis
78
2012
Behaviour near extinction for the fast diffusion equation on bounded domains. Zbl 1241.35013
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
24
2012
Rate of convergence to Barenblatt profiles for the fast diffusion equation. Zbl 1315.76032
Fila, Marek; Vázquez, Juan Luis; Winkler, Michael; Yanagida, Eiji
17
2012
Functional aspects of the Hardy inequality: appearance of a hidden energy. Zbl 1258.35008
Vázquez, Juan Luis; Zographopoulos, Nikolaos B.
9
2012
A porous medium equation involving the infinity-Laplacian viscosity solutions and asymptotic behavior. Zbl 1248.35113
Portilheiro, Manuel; Vázquez, Juan Luis
8
2012
Quantitative local bounds for subcritical semilinear elliptic equations. Zbl 1261.35028
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
5
2012
Large-time geometrical properties of solutions of the Barenblatt equation of elasto-plastic filtration. Zbl 1267.35106
Huang, Yong; Vázquez, Juan L.
2
2012
A fractional porous medium equation. Zbl 1208.26016
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
102
2011
Nonlinear porous medium flow with fractional potential pressure. Zbl 1264.76105
Caffarelli, Luis; Vazquez, Juan Luis
98
2011
Asymptotic behaviour of a porous medium equation with fractional diffusion. Zbl 1211.35043
Caffarelli, Luis; Vázquez, Juan-Luis
43
2011
Heat equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1213.35243
Vázquez, Juan Luis; Vitillaro, Enzo
30
2011
Multiple blow-up for a porous medium equation with reaction. Zbl 1233.35049
Mizoguchi, Noriko; Quirós, Fernando; Vázquez, Juan Luis
9
2011
The evolution of singularities in fast diffusion equations: infinite-time blow-down. Zbl 1233.35131
Vázquez, Juan Luis; Winkler, Michael
9
2011
A continuum of extinction rates for the fast diffusion equation. Zbl 1229.35124
Fila, Marek; Vázquez, Juan-Luis; Winkler, Michael
9
2011
Highly time-oscillating solutions for very fast diffusion equations. Zbl 1252.35168
Vázquez, Juan Luis; Winkler, Michael
9
2011
Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent. Zbl 1227.35064
Iagar, Razvan Gabriel; Laurençot, Philippe; Vázquez, Juan Luis
5
2011
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. Zbl 1256.35026
Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
47
2010
Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations. Zbl 1184.35083
Bonforte, Matteo; Vázquez, Juan Luis
43
2010
Special fast diffusion with slow asymptotics: Entropy method and flow on a Riemannian manifold. Zbl 1209.35069
Bonforte, Matteo; Grillo, Gabriele; Vázquez, Juan Luis
23
2010
Long time behavior for the inhomogeneous PME in a medium with rapidly decaying density. Zbl 1196.35052
Kamin, Shoshana; Reyes, Guillermo; Vázquez, Juan Luis
22
2010
Local smoothing effects, positivity, and Harnack inequalities for the fast \(p\)-Laplacian equation. Zbl 1198.35136
Bonforte, Matteo; Iagar, Razvan Gabriel; Vázquez, Juan Luis
22
2010
Anomalous large-time behaviour of the \(p\)-Laplacian flow in an exterior domain in low dimension. Zbl 1185.35021
Iagar, Razvan Gabriel; Vázquez, Juan L.
3
2010
Asymptotics of the fast diffusion equation via entropy estimates. Zbl 1178.35214
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
65
2009
Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds. Zbl 1156.58015
Lu, Peng; Ni, Lei; Vázquez, Juan-Luis; Villani, Cédric
43
2009
Long time behavior for the inhomogeneous PME in a medium with slowly decaying density. Zbl 1169.35313
Reyes, Guillermo; Vázquez, Juan-Luis
22
2009
Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions. Zbl 1167.35342
Droniou, Jérôme; Vázquez, Juan-Luis
19
2009
On the Laplace equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1167.35019
Vázquez, Juan Luis; Vitillaro, Enzo
11
2009
Asymptotic analysis of the \(p\)-Laplacian flow in an exterior domain. Zbl 1178.35070
Iagar, Razvan Gabriel; Vázquez, Juan Luis
6
2009
Measure-valued solutions and the phenomenon of blow-down in logarithmic diffusion. Zbl 1197.35153
Vázquez, Juan Luis
5
2009
Fast diffusion flow on manifolds of nonpositive curvature. Zbl 1139.35065
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
31
2008
Heat equation with dynamical boundary conditions of reactive type. Zbl 1168.35375
Vázquez, Juan Luis; Vitillaro, Enzo
25
2008
The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains. Zbl 1157.58007
Reyes, Guillermo; Vázquez, Juan-Luis
24
2008
Radial equivalence for the two basic nonlinear degenerate diffusion equations. Zbl 1139.35067
Iagar, Razvan Gabriel; Sánchez, Ariel; Vázquez, Juan Luis
22
2008
Parabolic approach to nonlinear elliptic eigenvalue problems. Zbl 1152.35060
Lee, Ki-Ahm; Vázquez, J. L.
13
2008
Wave equation with second-order non-standard dynamical boundary conditions. Zbl 1158.35060
Vazquez, Juan Luis; Vitillaro, Enzo
7
2008
The porous medium equation. Mathematical theory. Zbl 1107.35003
Vázquez, Juan Luis
201
2007
...and 170 more Documents
all top 5

Cited by 3,579 Authors

147 Vazquez, Juan Luis
100 Papageorgiou, Nikolaos S.
37 Carrillo de la Plata, José Antonio
36 Galaktionov, Victor Aleksandrovich
34 Yin, Jingxue
33 Boccardo, Lucio
31 Dolbeault, Jean
29 Véron, Laurent
28 Grillo, Gabriele
28 Iagar, Razvan Gabriel
27 Bonforte, Matteo
27 Rossi, Julio Daniel
27 Yang, Zuodong
26 Zhan, Huashui
24 de Pablo, Arturo
24 Mu, Chunlai
24 Porzio, Maria Michaela
24 Quirós Gracián, Fernando
23 Diaz Diaz, Jesus Ildefonso
23 Muratori, Matteo
23 Winkler, Michael
22 Fila, Marek
22 Gasiński, Leszek
22 Orsina, Luigi
22 Punzo, Fabio
19 Sánchez, Ariel
19 Sciunzi, Berardino
19 Souplet, Philippe
18 King, John Robert
18 Laurençot, Philippe
18 Peral Alonso, Ireneo
18 Vespri, Vincenzo Riccardo
17 Drábek, Pavel
17 Hui, Kin Ming
17 Ishige, Kazuhiro
17 Kim, Inwon Christina
17 Motreanu, Dumitru
17 Perthame, Benoît
17 Zuazua, Enrique
16 Redwane, Hicham
16 Staicu, Vasile
16 Takáč, Peter
16 Toscani, Giuseppe
16 Wolanski, Noemi I.
15 Andreu, Fuensanta
15 Berchio, Elvise
15 Guo, Jong-Shenq
15 Mazón Ruiz, José M.
15 Mercaldo, Anna
15 Rădulescu, Vicenţiu D.
15 Xiang, Mingqi
15 Zhang, Zhengce
14 Chlebicka, Iwona
14 Gao, Wenjie
14 Sire, Yannick
14 Tertikas, Achilles
14 Yanagida, Eiji
13 Abdellaoui, Boumediene
13 Antontsev, Stanislav Nikolaevich
13 Cianchi, Andrea
13 del Teso, Félix
13 Ferreira, Raúl
13 Han, Yuzhu
13 Kang, Dongsheng
13 Lam, Nguyen
13 Maz’ya, Vladimir Gilelevich
13 Petitta, Francesco
13 Segura de León, Sergio
13 Volzone, Bruno
12 Caselles Costa, Vicent
12 Ding, Juntang
12 Giacomoni, Jacques
12 Kim, Sunghoon
12 Kovalevsky, Alexander Albertovich
12 Wang, Liangwei
11 Alonso Rodríguez, Ana
11 Bennouna, Jaouad
11 Caffarelli, Luis Ángel
11 Del Pino, Manuel A.
11 Farina, Alberto
11 Filippas, Stathis
11 Klimsiak, Tomasz
11 Porretta, Alessio
11 Pucci, Patrizia
11 Takahashi, Takéo
11 Tedeev, Anatoliĭ Fedorovich
11 Tesei, Alberto
10 Azroul, Elhoussine
10 Bidaut-Veron, Marie-Françoise
10 Chen, Huyuan
10 Du, Yihong
10 Ferrero, Alberto
10 Filippakis, Michael E.
10 Hsu, Shu-Yu
10 Hulshof, Josephus
10 Kim, Yong Jung
10 Kyritsi, Sophia Th.
10 Lee, Ki-Ahm
10 Mizoguchi, Noriko
10 Pan, Jiaqing
...and 3,479 more Authors
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Cited in 399 Serials

362 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
289 Journal of Differential Equations
223 Journal of Mathematical Analysis and Applications
98 Calculus of Variations and Partial Differential Equations
96 Journal of Functional Analysis
76 Communications in Partial Differential Equations
72 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
66 Archive for Rational Mechanics and Analysis
60 Journal de Mathématiques Pures et Appliquées. Neuvième Série
59 Annali di Matematica Pura ed Applicata. Serie Quarta
56 Discrete and Continuous Dynamical Systems
53 Transactions of the American Mathematical Society
52 Applicable Analysis
52 Communications in Contemporary Mathematics
50 NoDEA. Nonlinear Differential Equations and Applications
49 Applied Mathematics Letters
46 Communications on Pure and Applied Analysis
45 Journal of Evolution Equations
45 Boundary Value Problems
43 Nonlinear Analysis. Theory, Methods & Applications
38 Proceedings of the American Mathematical Society
37 Applied Mathematics and Computation
36 Mathematische Annalen
36 Advanced Nonlinear Studies
35 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
34 Advances in Mathematics
33 Journal of Mathematical Sciences (New York)
32 Comptes Rendus. Mathématique. Académie des Sciences, Paris
31 Complex Variables and Elliptic Equations
30 Computers & Mathematics with Applications
30 SIAM Journal on Mathematical Analysis
29 Manuscripta Mathematica
29 Nonlinear Analysis. Real World Applications
26 Journal of Computational and Applied Mathematics
25 Advances in Nonlinear Analysis
23 ZAMP. Zeitschrift für angewandte Mathematik und Physik
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Potential Analysis
23 Journal of Inequalities and Applications
23 Discrete and Continuous Dynamical Systems. Series B
21 Rocky Mountain Journal of Mathematics
20 The Journal of Geometric Analysis
20 Mediterranean Journal of Mathematics
20 Discrete and Continuous Dynamical Systems. Series S
19 Abstract and Applied Analysis
18 Journal d’Analyse Mathématique
18 Ricerche di Matematica
18 Journal of Elliptic and Parabolic Equations
17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Journal of the European Mathematical Society (JEMS)
16 Journal of Dynamics and Differential Equations
16 Kinetic and Related Models
15 Mathematical Methods in the Applied Sciences
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
14 Communications in Mathematical Physics
14 Journal of Computational Physics
14 Monatshefte für Mathematik
13 Journal of Mathematical Physics
13 Chinese Annals of Mathematics. Series B
13 Acta Applicandae Mathematicae
13 European Journal of Applied Mathematics
13 Acta Mathematica Sinica. English Series
13 Science China. Mathematics
13 Evolution Equations and Control Theory
12 Journal of Engineering Mathematics
12 Journal of Statistical Physics
12 Mathematische Zeitschrift
11 Mathematics of Computation
11 Physica D
11 Applied Numerical Mathematics
11 Acta Mathematicae Applicatae Sinica. English Series
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Mathematische Nachrichten
10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
10 Electronic Journal of Differential Equations (EJDE)
10 Revista Matemática Complutense
10 Milan Journal of Mathematics
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
9 Mathematical Notes
9 Nonlinearity
9 SIAM Journal on Scientific Computing
9 Topological Methods in Nonlinear Analysis
9 Communications in Nonlinear Science and Numerical Simulation
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
9 Advances in Difference Equations
9 Proceedings of the Steklov Institute of Mathematics
8 Chaos, Solitons and Fractals
8 Applied Mathematics and Optimization
8 Results in Mathematics
8 SIAM Journal on Numerical Analysis
8 SIAM Journal on Applied Mathematics
8 International Journal of Differential Equations
8 Mathematical Control and Related Fields
8 Journal of Function Spaces
7 Israel Journal of Mathematics
7 Duke Mathematical Journal
7 International Journal of Mathematics and Mathematical Sciences
7 Quarterly of Applied Mathematics
7 Revista Matemática Iberoamericana
...and 299 more Serials
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Cited in 48 Fields

3,617 Partial differential equations (35-XX)
378 Fluid mechanics (76-XX)
226 Real functions (26-XX)
216 Functional analysis (46-XX)
202 Operator theory (47-XX)
194 Numerical analysis (65-XX)
178 Global analysis, analysis on manifolds (58-XX)
158 Calculus of variations and optimal control; optimization (49-XX)
146 Ordinary differential equations (34-XX)
144 Biology and other natural sciences (92-XX)
120 Probability theory and stochastic processes (60-XX)
86 Differential geometry (53-XX)
79 Statistical mechanics, structure of matter (82-XX)
68 Integral equations (45-XX)
66 Classical thermodynamics, heat transfer (80-XX)
63 Systems theory; control (93-XX)
50 Potential theory (31-XX)
49 Mechanics of deformable solids (74-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
39 Dynamical systems and ergodic theory (37-XX)
26 Difference and functional equations (39-XX)
23 Measure and integration (28-XX)
20 Quantum theory (81-XX)
16 Special functions (33-XX)
16 Information and communication theory, circuits (94-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Topological groups, Lie groups (22-XX)
14 Abstract harmonic analysis (43-XX)
11 Several complex variables and analytic spaces (32-XX)
10 Approximations and expansions (41-XX)
10 Operations research, mathematical programming (90-XX)
9 Computer science (68-XX)
9 Mechanics of particles and systems (70-XX)
8 Optics, electromagnetic theory (78-XX)
8 Geophysics (86-XX)
6 Functions of a complex variable (30-XX)
5 History and biography (01-XX)
5 Relativity and gravitational theory (83-XX)
4 Combinatorics (05-XX)
4 Statistics (62-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Integral transforms, operational calculus (44-XX)
3 Convex and discrete geometry (52-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
1 Number theory (11-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)

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