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Vazquez, Juan Luis

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Author ID: vazquez.juan-luis Recent zbMATH articles by "Vazquez, Juan Luis"
Published as: Vasquez, Juan Luis; Vazquez, J. L.; Vazquez, Jean Luis; Vazquez, Juan L.; Vazquez, Juan Luis; Vazquez, Juan-Luis; Vásquez, Juan Luis; Vázquez; Vázquez Suárez, Juan Luis; Vázquez, J. L.; Vázquez, Juan L.; Vázquez, Juan Luis; Vázquez, Juan-Luis
Homepage: http://www.uam.es/personal_pdi/ciencias/jvazquez/ind-eng.html
External Links: MGP · Wikidata · ResearchGate
Documents Indexed: 298 Publications since 1979, including 6 Books
all top 5

Co-Authors

54 single-authored
28 Galaktionov, Victor Aleksandrovich
20 Bonforte, Matteo
14 Quirós Gracián, Fernando
12 Kamin, Shoshana
11 Alonso Rodríguez, Ana
11 de Pablo, Arturo
11 Peletier, Lambertus Adrianus
10 Grillo, Gabriele
8 Caffarelli, Luis Ángel
7 Carrillo de la Plata, José Antonio
7 del Teso, Félix
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 Gómez-Castro, David
5 Herrero, Miguel Ángel
5 Hulshof, Josephus
5 Iagar, Razvan Gabriel
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 Sire, Yannick
4 Winkler, Michael
4 Yarur, Cecilia S.
3 Audrito, Alessandro
3 Dolbeault, Jean
3 Escobedo Martínez, Miguel
3 Gallouët, Thierry
3 Lacey, Andrew A.
3 Levine, Howard Allen
3 McLeod, John Bryce
3 Volzone, Bruno
3 Zographopoulos, Nikolaos B.
2 Bénilan, Philippe
2 Blanchet, Adrien
2 Brändle, Cristina
2 Diaz Diaz, Jesus Ildefonso
2 Figalli, Alessio
2 Gil, Omar
2 Kersner, Robert
2 Laurençot, Philippe
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 Dold, James W.
1 Droniou, Jérôme
1 Elgueta, Manuel
1 Endal, Jørgen
1 Farina, Alberto
1 Friedman, Avner
1 Garcia-Azorero, Jesús
1 Gariepy, Ron
1 Gazzola, Filippo
1 Gerbi, Stéphane
1 Goldenfeld, Nigel
1 Huang, Yanghong
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
1 McLeod, Kevin
...and 25 more Co-Authors
all top 5

Serials

16 Archive for Rational Mechanics and Analysis
16 Communications in Partial Differential Equations
14 Journal of Differential Equations
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 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
8 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 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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Electronic Journal of Differential Equations (EJDE)
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 Advanced Nonlinear Studies
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 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 Discrete and Continuous Dynamical Systems. Series B
1 Milan Journal of Mathematics
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Contemporary Mathematics
1 The IMA Volumes in Mathematics and its Applications
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 Advances in Nonlinear Analysis
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

263 Publications have been cited 6,018 times in 3,494 Documents Cited by Year
A strong maximum principle for some quasilinear elliptic equations. Zbl 0561.35003
Vázquez, J. L.
529
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
338
1995
The porous medium equation. Mathematical theory. Zbl 1107.35003
Vázquez, Juan Luis
235
2007
Blow-up solutions of some nonlinear elliptic problems. Zbl 0894.35038
Brézis, Haïm; Vázquez, Juan Luis
222
1997
The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential. Zbl 0953.35053
Vazquez, Juan Luis; Zuazua, Enrike
157
2000
Continuation of blowup solutions of nonlinear heat equations in several space dimensions. Zbl 0874.35057
Galaktionov, Victor A.; Vazquez, Juan L.
136
1997
The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057
Galaktionov, Victor A.; Vázquez, Juan L.
134
2002
Smoothing and decay estimates for nonlinear diffusion equations. Equations of porous medium type. Zbl 1113.35004
Vázquez, Juan Luis
121
2006
On the equation of turbulent filtration in one-dimensional porous media. Zbl 0613.76102
Esteban, Juan R.; Vazquez, Juan L.
106
1986
Nonlinear porous medium flow with fractional potential pressure. Zbl 1264.76105
Caffarelli, Luis; Vazquez, Juan Luis
85
2011
A fractional porous medium equation. Zbl 1208.26016
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
84
2011
A general fractional porous medium equation. Zbl 1248.35220
De Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
79
2012
Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators. Zbl 1290.26010
Vázquez, Juan-Luis
69
2014
Nonlinear diffusion with fractional Laplacian operators. Zbl 1248.35223
Vázquez, Juan Luis
62
2012
Asymptotic behaviour for the porous medium equation posed in the whole space. Zbl 1036.35108
Vázquez, Juan Luis
62
2003
Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data. Zbl 0810.35021
Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis
60
1993
Fundamental solutions and asymptotic behaviour for the p-Laplacian equations. Zbl 0699.35158
Kamin, S.; Vázquez, J. L.
59
1988
Asymptotics of the fast diffusion equation via entropy estimates. Zbl 1178.35214
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
57
2009
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
54
2015
Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity. Zbl 0683.76073
Esteban, Juan R.; Vazquez, Juan L.
52
1988
Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Zbl 0807.35059
Escobedo, Miguel; Vazquez, Juan Luis; Zuazua, Enrike
51
1993
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.
51
1987
Quantitative local and global a priori estimates for fractional nonlinear diffusion equations. Zbl 1288.35127
Bonforte, Matteo; Vázquez, Juan Luis
50
2014
Travelling waves and finite propagation in a reaction-diffusion equation. Zbl 0784.35045
de Pablo, Arturo; Vazquez, Juan Luis
49
1991
A free-boundary problem for the heat equation arising in flame propagation. Zbl 0814.35149
Caffarelli, Luis A.; Vázquez, Juan L.
46
1995
A nonlinear heat equation with singular diffusivity. Zbl 0686.35066
Esteban, Juan R.; Rodríguez, Ana; Vázquez, Juan L.
46
1988
The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis
45
2014
Theory of extended solutions for fast-diffusion equations in optimal classes of data. Radiation from singularities. Zbl 1018.35048
Chasseigne, Emmanuel; Vazquez, Juan Luis
44
2002
Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type. Zbl 1297.35279
Vázquez, Juan Luis
43
2014
Regularity of solutions of the fractional porous medium flow. Zbl 1292.35312
Caffarelli, Luis A.; Soria, Fernando; Vázquez, Juan Luis
43
2013
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
43
2010
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.
43
1995
Nonexistence of solutions for nonlinear heat equations of fast-diffusion type. Zbl 0694.35088
Vazquez, Juan Luis
43
1992
A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains. Zbl 1334.35382
Bonforte, Matteo; Vázquez, Juan Luis
42
2015
Asymptotic behaviour of a porous medium equation with fractional diffusion. Zbl 1211.35043
Caffarelli, Luis; Vázquez, Juan-Luis
41
2011
Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations. Zbl 1184.35083
Bonforte, Matteo; Vázquez, Juan Luis
39
2010
An introduction to the mathematical theory of the porous medium equation. Zbl 0765.76086
Vazquez, Jean Luis
38
1992
Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium. Zbl 0528.76096
Vazquez, Juan Luis
38
1983
On the propagation properties of a nonlinear degenerate parabolic equation. Zbl 0516.35041
Herrero, Miguel A.; Vazquez, Juan Luis
37
1982
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
36
2009
Fine asymptotics for fast diffusion equations. Zbl 1036.35100
Carrillo, José A.; Vázquez, Juan L.
35
2003
Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach. Zbl 0755.35010
Galaktionov, Victor A.; Vazquez, Juan L.
35
1991
Large-time behavior for a simplified 1D model of fluid-solid interaction. Zbl 1071.74017
Vázquez, Juan Luis; Zuazua, Enrique
32
2003
Global positivity estimates and Harnack inequalities for the fast diffusion equation. Zbl 1107.35063
Bonforte, Matteo; Vazquez, Juan Luis
31
2006
A diffusion-convection equation in several space dimensions. Zbl 0791.35059
Escobedo, Miguel; Vázquez, Juan Luis; Zuazua, Enrike
31
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.
30
1995
Asymptotic behaviour of solutions of the porous medium equation with changing sign. Zbl 0755.35011
Kamin, Shoshana; Vazquez, Juan Luis
30
1991
Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation. Zbl 1108.35097
Lee, Ki-Ahm; Petrosyan, Arshak; Vázquez, Juan Luis
29
2006
The porous medium equation. New contractivity results. Zbl 1147.35050
Vázquez, J. L.
29
2005
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
29
1998
Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system. Zbl 0873.35066
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis
29
1996
Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem. Zbl 0498.35013
Herrero, M. A.; Vazquez, J. L.
29
1981
Heat equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1213.35243
Vázquez, Juan Luis; Vitillaro, Enzo
27
2011
Classification of singular solutions of a nonlinear heat equation. Zbl 0701.35083
Kamin, S.; Peletier, L. A.; Vazquez, J. L.
26
1989
Hardy-Poincaré inequalities and applications to nonlinear diffusions. Zbl 1190.35119
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan-Luis
25
2007
Geometrical properties of solutions of the porous medium equation for large times. Zbl 1080.35037
Lee, Ki-Ahm; Vázquez, J. L.
25
2003
On the Barenblatt equation of elasto-plastic filtration. Zbl 0737.73048
Kamin, S.; Peletier, L. A.; Vazquez, J. L.
25
1991
The one-dimensional nonlinear heat equation with absorption: Regularity of solutions and interfaces. Zbl 0633.35037
Herrero, Miguel A.; Vázquez, Juan L.
25
1987
An a priori interior estimate for the solutions of a non-linear problem representing weak diffusion. Zbl 0446.35018
Vazquez, Juan Luis
25
1981
Optimal existence and uniqueness theory for the fractional heat equation. Zbl 1364.35416
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
24
2017
Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type. Zbl 1290.35317
Vázquez, Juan Luis; Volzone, Bruno
24
2014
A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators. Zbl 1290.35316
Serfaty, Sylvia; Vázquez, Juan Luis
23
2014
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
23
2013
Behaviour near extinction for the fast diffusion equation on bounded domains. Zbl 1241.35013
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
23
2012
Entropy solutions for diffusion-convection equations with partial diffusivity. Zbl 0803.35084
Escobedo, M.; Vazquez, J. L.; Zuazua, Enrike
23
1994
Extinction for a quasilinear heat equation with absorption. I: Technique of intersection comparison. Zbl 0831.35073
Galaktionov, Victor A.; Vazquez, Juan L.
23
1994
Removable singularities of some strongly nonlinear elliptic equations. Zbl 0452.35034
Vázquez, Juan-Luis; Véron, Laurent
23
1980
Fast diffusion flow on manifolds of nonpositive curvature. Zbl 1139.35065
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
22
2008
Extinction for a quasilinear heat equation with absorption. II: A dynamical systems approach. Zbl 0831.35074
Galaktionov, Victor A.; Vazquez, Juan L.
22
1994
The interfaces of one-dimensional flows in porous media. Zbl 0524.35060
Vazquez, Juan L.
22
1984
On a semilinear equation in \({\mathbb{R}}^ 2\) involving bounded measures. Zbl 0536.35025
Vazquez, Juan L.
22
1983
Classical solutions and higher regularity for nonlinear fractional diffusion equations. Zbl 1371.35331
Vázquez, Juan Luis; de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
21
2017
The Dirichlet problem for the fractional \(p\)-Laplacian evolution equation. Zbl 1348.35042
Vázquez, Juan Luis
21
2016
Special fast diffusion with slow asymptotics: Entropy method and flow on a Riemannian manifold. Zbl 1209.35069
Bonforte, Matteo; Grillo, Gabriele; Vázquez, Juan Luis
21
2010
The Cauchy problem for the inhomogeneous porous medium equation. Zbl 1124.35035
Reyes, Guillermo; Vazquez, Juan Luis
21
2006
A stability technique for evolution partial differential equations. A dynamical systems approach. Zbl 1065.35002
Galaktionov, Victor A.; Vázquez, Juan Luis
21
2004
Extinction behaviour for fast diffusion equations with absorption. Zbl 0974.35064
Ferreira, Raúl; Vazquez, Juan Luis
21
2001
Domain of existence and blowup for the exponential reaction-diffusion equation. Zbl 0928.35080
Vazquez, Juan Luis
21
1999
Long time behavior for the inhomogeneous PME in a medium with slowly decaying density. Zbl 1169.35313
Reyes, Guillermo; Vázquez, Juan-Luis
20
2009
Heat equation with dynamical boundary conditions of reactive type. Zbl 1168.35375
Vázquez, Juan Luis; Vitillaro, Enzo
20
2008
Lack of collision in a simplified 1D model for fluid-solid interaction. Zbl 1387.35634
Vázquez, Juan Luis; Zuazua, Enrique
20
2006
The Dirichlet problem for the porous medium equation in bounded domains. Asymptotic behavior. Zbl 1055.35024
Vazquez, Juan Luis
20
2004
A well posed problem in singular Fickian diffusion. Zbl 0695.76043
Rodríguez, Ana; Vázquez, Juan Luis
20
1990
Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media. Zbl 0642.76108
Aronson, D. G.; Vazquez, J. L.
20
1987
Isolated singularities of some semilinear elliptic equations. Zbl 0549.35043
Vázquez, Juan Luis; Véron, Laurent
20
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
19
2010
The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains. Zbl 1157.58007
Reyes, Guillermo; Vázquez, Juan-Luis
19
2008
Complexity of large time behaviour of evolution equations with bounded data. Zbl 1002.35020
Vázquez, J. L.; Zuazua, E.
19
2002
Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations. Zbl 0884.35014
Galaktionov, Victor A.; Vazquez, Juan L.
19
1996
Singularities of elliptic equations with an exponential nonlinearity. Zbl 0567.35034
Vázquez, Juan Luis; Véron, Laurent
19
1984
Fundamental solution and long time behavior of the porous medium equation in hyperbolic space. Zbl 1327.35213
Vázquez, Juan Luis
18
2015
The Fisher-KPP equation with nonlinear fractional diffusion. Zbl 1323.35088
Stan, Diana; Vázquez, Juan Luis
18
2014
Local smoothing effects, positivity, and Harnack inequalities for the fast \(p\)-Laplacian equation. Zbl 1198.35136
Bonforte, Matteo; Iagar, Razvan Gabriel; Vázquez, Juan Luis
18
2010
Radial equivalence for the two basic nonlinear degenerate diffusion equations. Zbl 1139.35067
Iagar, Razvan Gabriel; Sánchez, Ariel; Vázquez, Juan Luis
18
2008
Classification of blow-up with nonlinear diffusion and localized reaction. Zbl 1110.35034
Ferreira, Raúl; De Pablo, Arturo; Vazquez, Juan Luis
18
2006
Symmetrization and mass comparison for degenerate nonlinear parabolic and related elliptic equations. Zbl 1085.35083
Vázquez, Juan Luis
18
2005
Asymptotics of the fast-diffusion equation with critical exponent. Zbl 0954.35094
Galaktionov, Victor A.; Peletier, Lambertus A.; Vazquez, Juan L.
18
2000
The maximal solution of the logarithmic fast diffusion equation in two space dimensions. Zbl 1023.35515
Rodriguez, Ana; Vazquez, Juan L.; Esteban, Juan R.
18
1997
Singular solutions of some nonlinear parabolic equations. Zbl 0802.35066
Kamin, Shoshana; Vazquez, Juan Luis
18
1992
Fractional nonlinear degenerate diffusion equations on bounded domains. I: Existence, uniqueness and upper bounds. Zbl 1328.35009
Bonforte, Matteo; Vázquez, Juan Luis
17
2016
Blow-up phenomena in nonlocal eigenvalue problems: when theories of \(L^1\) and \(L^2\) meet. Zbl 07306989
Chan, Hardy; Gómez-Castro, David; Vázquez, Juan Luis
1
2021
The evolution fractional p-Laplacian equation in \(\mathbb{R}^N\). Fundamental solution and asymptotic behaviour. Zbl 1447.35205
Vázquez, J. L.
3
2020
Estimates on translations and Taylor expansions in fractional Sobolev spaces. Zbl 07248577
del Teso, Félix; Gómez-Castro, David; Vázquez, Juan Luis
1
2020
Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains. Zbl 1439.35257
Audrito, Alessandro; Vázquez, Juan Luis
1
2020
On the two-phase fractional Stefan problem. Zbl 1434.80006
del Teso, Félix; Endal, Jørgen; 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
5
2019
The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case. Zbl 1411.35261
Grillo, Gabriele; Muratori, Matteo; Vázquez, Juan Luis
3
2019
The fractional Schrödinger equation with singular potential and measure data. Zbl 1425.35212
Gómez-Castro, David; Vázquez, Juan Luis
2
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
14
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.
6
2018
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations. Zbl 1392.35144
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
5
2018
Porous medium equation with nonlocal pressure. Zbl 1406.35302
Stan, Diana; del Teso, Félix; Vázquez, Juan Luis
4
2018
Asymptotic behaviour for the fractional heat equation in the Euclidean space. Zbl 1388.35216
Vázquez, Juan Luis
4
2018
Porous medium equation with nonlocal pressure in a bounded domain. Zbl 1409.35224
Nguyen, Quoc-Hung; Vázquez, Juan Luis
2
2018
Flatness implies smoothness for solutions of the porous medium equation. Zbl 1403.35065
Kienzler, Clemens; Koch, Herbert; Vázquez, Juan Luis
2
2018
Optimal existence and uniqueness theory for the fractional heat equation. Zbl 1364.35416
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
24
2017
Classical solutions and higher regularity for nonlinear fractional diffusion equations. Zbl 1371.35331
Vázquez, Juan Luis; de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
21
2017
The mathematical theories of diffusion: nonlinear and fractional diffusion. Zbl 06842163
Vázquez, Juan Luis
16
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
12
2017
The Fisher-KPP problem with doubly nonlinear diffusion. Zbl 1386.35197
Audrito, Alessandro; Vázquez, Juan Luis
10
2017
The Fisher-KPP problem with doubly nonlinear “fast” diffusion. Zbl 1365.35065
Audrito, Alessandro; Vázquez, Juan Luis
7
2017
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application. Zbl 06731394
Sire, Yannick; Vázquez, Juan Luis; Volzone, Bruno
6
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
2
2017
The Dirichlet problem for the fractional \(p\)-Laplacian evolution equation. Zbl 1348.35042
Vázquez, Juan Luis
21
2016
Fractional nonlinear degenerate diffusion equations on bounded domains. I: Existence, uniqueness and upper bounds. Zbl 1328.35009
Bonforte, Matteo; Vázquez, Juan Luis
17
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
12
2016
Regularity of solutions of the fractional porous medium flow with exponent \(1/2\). Zbl 1335.35273
Caffarelli, L.; Vázquez, J. L.
9
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
54
2015
A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains. Zbl 1334.35382
Bonforte, Matteo; Vázquez, Juan Luis
42
2015
Fundamental solution and long time behavior of the porous medium equation in hyperbolic space. Zbl 1327.35213
Vázquez, Juan Luis
18
2015
Optimal estimates for fractional fast diffusion equations. Zbl 1327.35417
Vázquez, Juan Luis; Volzone, Bruno
15
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.
11
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
2
2015
Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators. Zbl 1290.26010
Vázquez, Juan-Luis
69
2014
Quantitative local and global a priori estimates for fractional nonlinear diffusion equations. Zbl 1288.35127
Bonforte, Matteo; Vázquez, Juan Luis
50
2014
The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis
45
2014
Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type. Zbl 1297.35279
Vázquez, Juan Luis
43
2014
Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type. Zbl 1290.35317
Vázquez, Juan Luis; Volzone, Bruno
24
2014
A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators. Zbl 1290.35316
Serfaty, Sylvia; Vázquez, Juan Luis
23
2014
The Fisher-KPP equation with nonlinear fractional diffusion. Zbl 1323.35088
Stan, Diana; Vázquez, Juan Luis
18
2014
Finite and infinite speed of propagation for porous medium equations with fractional pressure. 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
43
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
23
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
15
2013
Degenerate homogeneous parabolic equations associated with the infinity-Laplacian. Zbl 1262.35137
Portilheiro, Manuel; Vázquez, Juan Luis
6
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
79
2012
Nonlinear diffusion with fractional Laplacian operators. Zbl 1248.35223
Vázquez, Juan Luis
62
2012
Behaviour near extinction for the fast diffusion equation on bounded domains. Zbl 1241.35013
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
23
2012
Rate of convergence to Barenblatt profiles for the fast diffusion equation. Zbl 1315.76032
Fila, Marek; Vázquez, Juan Luis; Winkler, Michael; Yanagida, Eiji
14
2012
Functional aspects of the Hardy inequality: appearance of a hidden energy. Zbl 1258.35008
Vázquez, Juan Luis; Zographopoulos, Nikolaos B.
8
2012
Quantitative local bounds for subcritical semilinear elliptic equations. Zbl 1261.35028
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
6
2012
A porous medium equation involving the infinity-Laplacian viscosity solutions and asymptotic behavior. Zbl 1248.35113
Portilheiro, Manuel; Vázquez, 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
Nonlinear porous medium flow with fractional potential pressure. Zbl 1264.76105
Caffarelli, Luis; Vazquez, Juan Luis
85
2011
A fractional porous medium equation. Zbl 1208.26016
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
84
2011
Asymptotic behaviour of a porous medium equation with fractional diffusion. Zbl 1211.35043
Caffarelli, Luis; Vázquez, Juan-Luis
41
2011
Heat equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1213.35243
Vázquez, Juan Luis; Vitillaro, Enzo
27
2011
Highly time-oscillating solutions for very fast diffusion equations. Zbl 1252.35168
Vázquez, Juan Luis; Winkler, Michael
8
2011
A continuum of extinction rates for the fast diffusion equation. Zbl 1229.35124
Fila, Marek; Vázquez, Juan-Luis; Winkler, Michael
8
2011
The evolution of singularities in fast diffusion equations: infinite-time blow-down. Zbl 1233.35131
Vázquez, Juan Luis; Winkler, Michael
7
2011
Multiple blow-up for a porous medium equation with reaction. Zbl 1233.35049
Mizoguchi, Noriko; Quirós, Fernando; Vázquez, Juan Luis
7
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
4
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
43
2010
Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations. Zbl 1184.35083
Bonforte, Matteo; Vázquez, Juan Luis
39
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
21
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
19
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
18
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.
2
2010
Asymptotics of the fast diffusion equation via entropy estimates. Zbl 1178.35214
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
57
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
36
2009
Long time behavior for the inhomogeneous PME in a medium with slowly decaying density. Zbl 1169.35313
Reyes, Guillermo; Vázquez, Juan-Luis
20
2009
Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions. Zbl 1167.35342
Droniou, Jérôme; Vázquez, Juan-Luis
14
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
4
2009
Fast diffusion flow on manifolds of nonpositive curvature. Zbl 1139.35065
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis
22
2008
Heat equation with dynamical boundary conditions of reactive type. Zbl 1168.35375
Vázquez, Juan Luis; Vitillaro, Enzo
20
2008
The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains. Zbl 1157.58007
Reyes, Guillermo; Vázquez, Juan-Luis
19
2008
Radial equivalence for the two basic nonlinear degenerate diffusion equations. Zbl 1139.35067
Iagar, Razvan Gabriel; Sánchez, Ariel; Vázquez, Juan Luis
18
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
6
2008
The porous medium equation. Mathematical theory. Zbl 1107.35003
Vázquez, Juan Luis
235
2007
Hardy-Poincaré inequalities and applications to nonlinear diffusions. Zbl 1190.35119
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan-Luis
25
2007
Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption. Zbl 1134.35070
Laurençot, Philippe; Vázquez, Juan Luis
13
2007
Heat equation with dynamical boundary conditions of locally reactive type. Zbl 1112.35083
Vazquez, Juan Luis; Vitillaro, Enzo
11
2007
Asymptotic complexity in filtration equations. Zbl 1156.35051
Carrillo, J. A.; Vázquez, J. L.
9
2007
Asymptotic behaviour of the porous media equation in domains with holes. Zbl 1131.35043
Brändle, Cristina; Quirós, Fernando; Vázquez, Juan Luis
8
2007
Perspectives in nonlinear diffusion: between analysis, physics and geometry. Zbl 1128.35060
Vázquez, Juan Luis
8
2007
Viscosity solutions for elliptics-parabolic problems. Zbl 1141.35013
Mannucci, Paola; Vazquez, Juan Luis
5
2007
Porous medium flow in a tube. Traveling waves and KPP behavior. Zbl 1157.35061
Vázquez, Juan Luis
4
2007
Multiple blowup for nonlinear heat equations at different places and different times. Zbl 1145.35071
Mizoguchi, Noriko; Vázquez, Juan Luis
4
2007
Reverse smoothing effects, fine asymptotics, and Harnack inequalities for fast diffusion equations. Zbl 1166.35008
Bonforte, Matteo; Vazquez, Juan Luis
2
2007
...and 163 more Documents
all top 5

Cited by 3,215 Authors

139 Vazquez, Juan Luis
100 Papageorgiou, Nikolaos S.
37 Galaktionov, Victor Aleksandrovich
34 Carrillo de la Plata, José Antonio
33 Yin, Jingxue
30 Boccardo, Lucio
27 Dolbeault, Jean
27 Yang, Zuodong
26 Bonforte, Matteo
26 Rossi, Julio Daniel
26 Véron, Laurent
25 Grillo, Gabriele
24 Diaz Diaz, Jesus Ildefonso
24 Mu, Chunlai
23 Quirós Gracián, Fernando
22 de Pablo, Arturo
22 Fila, Marek
21 Gasiński, Leszek
21 Iagar, Razvan Gabriel
21 Orsina, Luigi
21 Porzio, Maria Michaela
20 Zhan, Huashui
19 Muratori, Matteo
19 Winkler, Michael
18 King, John Robert
18 Laurençot, Philippe
18 Peral Alonso, Ireneo
18 Punzo, Fabio
17 Hui, Kin Ming
17 Motreanu, Dumitru
17 Sciunzi, Berardino
17 Souplet, Philippe
16 Ishige, Kazuhiro
16 Perthame, Benoît
16 Staicu, Vasile
16 Toscani, Giuseppe
16 Wolanski, Noemi I.
16 Zuazua, Enrique
15 Andreu, Fuensanta
15 Drábek, Pavel
15 Mazón Ruiz, José M.
15 Vespri, Vincenzo Riccardo
14 Guo, Jong-Shenq
14 Kim, Inwon Christina
14 Mercaldo, Anna
14 Rădulescu, Vicenţiu D.
14 Takáč, Peter
14 Tertikas, Achilles
13 Antontsev, Stanislav Nikolaevich
13 Berchio, Elvise
13 Gao, Wenjie
13 Kang, Dongsheng
13 Kim, Sunghoon
13 Petitta, Francesco
13 Sánchez, Ariel
13 Zhang, Zhengce
12 Abdellaoui, Boumediene
12 Caselles Costa, Vicent
12 Chlebicka, Iwona
12 Cianchi, Andrea
12 Ding, Juntang
12 Ferreira, Raúl
12 Giacomoni, Jacques
12 Kovalevsky, Alexander Albertovich
12 Maz’ya, Vladimir Gilelevich
12 Redwane, Hicham
12 Segura de León, Sergio
12 Yanagida, Eiji
11 Del Pino, Manuel A.
11 del Teso, Félix
11 Filippas, Stathis
11 Porretta, Alessio
11 Pucci, Patrizia
11 Sire, Yannick
11 Takahashi, Takéo
11 Tesei, Alberto
11 Volzone, Bruno
11 Xiang, Mingqi
10 Alonso Rodríguez, Ana
10 Azroul, Elhoussine
10 Ferrero, Alberto
10 Filippakis, Michael E.
10 Han, Yuzhu
10 Hsu, Shu-Yu
10 Jin, Chunhua
10 Kyritsi, Sophia Th.
10 Lee, Ki-Ahm
10 Mizoguchi, Noriko
10 Pan, Jiaqing
10 Wang, Liangwei
10 Wang, Mingxin
10 Zographopoulos, Nikolaos B.
9 Aronson, Donald G.
9 Bidaut-Veron, Marie-Françoise
9 Caffarelli, Luis Ángel
9 Carl, Siegfried
9 Cortázar, Carmen
9 Farina, Alberto
9 García-Melián, Jorge
9 Gazzola, Filippo
...and 3,115 more Authors
all top 5

Cited in 349 Serials

353 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
275 Journal of Differential Equations
216 Journal of Mathematical Analysis and Applications
89 Journal of Functional Analysis
83 Calculus of Variations and Partial Differential Equations
73 Communications in Partial Differential Equations
72 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
62 Archive for Rational Mechanics and Analysis
57 Journal de Mathématiques Pures et Appliquées. Neuvième Série
53 Annali di Matematica Pura ed Applicata. Serie Quarta
49 Transactions of the American Mathematical Society
48 Communications in Contemporary Mathematics
47 Discrete and Continuous Dynamical Systems
45 Applied Mathematics Letters
45 Nonlinear Analysis. Theory, Methods & Applications
43 Applicable Analysis
41 NoDEA. Nonlinear Differential Equations and Applications
37 Communications on Pure and Applied Analysis
37 Boundary Value Problems
35 Applied Mathematics and Computation
35 Proceedings of the American Mathematical Society
34 Journal of Evolution Equations
33 Mathematische Annalen
33 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
31 Journal of Mathematical Sciences (New York)
31 Comptes Rendus. Mathématique. Académie des Sciences, Paris
29 Advanced Nonlinear Studies
29 Complex Variables and Elliptic Equations
28 Computers & Mathematics with Applications
28 Manuscripta Mathematica
27 SIAM Journal on Mathematical Analysis
27 Nonlinear Analysis. Real World Applications
25 Advances in Mathematics
25 Journal of Computational and Applied Mathematics
20 Potential Analysis
19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 Abstract and Applied Analysis
18 Rocky Mountain Journal of Mathematics
18 Discrete and Continuous Dynamical Systems. Series B
18 Advances in Nonlinear Analysis
17 Journal d’Analyse Mathématique
17 Ricerche di Matematica
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Journal of the European Mathematical Society (JEMS)
16 Kinetic and Related Models
15 Journal of Computational Physics
15 Mathematical Methods in the Applied Sciences
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Journal of Dynamics and Differential Equations
15 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
15 Journal of Inequalities and Applications
15 Mediterranean Journal of Mathematics
14 Journal of Mathematical Physics
14 Monatshefte für Mathematik
14 The Journal of Geometric Analysis
14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
13 Communications in Mathematical Physics
13 European Journal of Applied Mathematics
13 Acta Mathematica Sinica. English Series
12 Mathematische Zeitschrift
12 Chinese Annals of Mathematics. Series B
12 Physica D
12 Discrete and Continuous Dynamical Systems. Series S
11 Journal of Engineering Mathematics
11 Journal of Statistical Physics
11 Mathematics of Computation
11 Acta Applicandae Mathematicae
10 Nonlinearity
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 Science China. Mathematics
9 Applied Numerical Mathematics
9 Proceedings of the Steklov Institute of Mathematics
8 Mathematical Notes
8 Acta Mathematicae Applicatae Sinica. English Series
8 Topological Methods in Nonlinear Analysis
8 Electronic Journal of Differential Equations (EJDE)
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 International Journal of Differential Equations
8 Journal of Elliptic and Parabolic Equations
7 Duke Mathematical Journal
7 International Journal of Mathematics and Mathematical Sciences
7 Quarterly of Applied Mathematics
7 Stochastic Processes and their Applications
7 SIAM Journal on Scientific Computing
7 Revista Matemática Complutense
7 Communications in Nonlinear Science and Numerical Simulation
7 Analysis and Applications (Singapore)
7 Advances in Difference Equations
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Mathematical Control and Related Fields
7 Evolution Equations and Control Theory
6 Communications on Pure and Applied Mathematics
6 Israel Journal of Mathematics
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Results in Mathematics
6 SIAM Journal on Numerical Analysis
6 Siberian Mathematical Journal
6 Tohoku Mathematical Journal. Second Series
6 Zeitschrift für Analysis und ihre Anwendungen
...and 249 more Serials
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Cited in 48 Fields

3,179 Partial differential equations (35-XX)
356 Fluid mechanics (76-XX)
180 Real functions (26-XX)
171 Operator theory (47-XX)
170 Functional analysis (46-XX)
160 Global analysis, analysis on manifolds (58-XX)
159 Numerical analysis (65-XX)
137 Ordinary differential equations (34-XX)
130 Calculus of variations and optimal control; optimization (49-XX)
120 Biology and other natural sciences (92-XX)
102 Probability theory and stochastic processes (60-XX)
71 Differential geometry (53-XX)
69 Statistical mechanics, structure of matter (82-XX)
61 Classical thermodynamics, heat transfer (80-XX)
60 Integral equations (45-XX)
50 Systems theory; control (93-XX)
46 Mechanics of deformable solids (74-XX)
44 Potential theory (31-XX)
42 Dynamical systems and ergodic theory (37-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
22 Difference and functional equations (39-XX)
18 Quantum theory (81-XX)
16 Information and communication theory, circuits (94-XX)
15 Measure and integration (28-XX)
14 Special functions (33-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Topological groups, Lie groups (22-XX)
10 Approximations and expansions (41-XX)
9 Abstract harmonic analysis (43-XX)
8 Mechanics of particles and systems (70-XX)
8 Geophysics (86-XX)
8 Operations research, mathematical programming (90-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Optics, electromagnetic theory (78-XX)
5 Relativity and gravitational theory (83-XX)
4 General and overarching topics; collections (00-XX)
4 Functions of a complex variable (30-XX)
4 Computer science (68-XX)
4 Astronomy and astrophysics (85-XX)
3 History and biography (01-XX)
3 Combinatorics (05-XX)
3 Convex and discrete geometry (52-XX)
3 Statistics (62-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Integral transforms, operational calculus (44-XX)
1 Number theory (11-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)

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