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Fundamental solution and long time behavior of the Porous Medium Equation in hyperbolic space

Journal de mathématiques pures et appliquées, 2015-09, Vol.104 (3), p.454-484

Vázquez, Juan Luis

2015

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Anisotropic p-Laplacian Evolution of Fast Diffusion Type

Advanced nonlinear studies, 2021-08, Vol.21 (3), p.523-555

2021

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Approaching Critical Decay in a Strongly Degenerate Parabolic Equation

Journal of dynamics and differential equations, 2024-02, Vol.36 (Suppl 1), p.3-23

Winkler, Michael

2024

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New contributions to a complex system of quadratic heat equations with a generalized kernels: global solutions

Monatshefte für Mathematik, 2024-06, Vol.204 (2), p.261-280

2024

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On a comparison principle for Trudinger’s equation

Advances in calculus of variations, 2022-07, Vol.15 (3), p.401-415

2022

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New critical curves for a doubly degenerate parabolic equation in half-line

Applicable analysis, 2022-11, Vol.101 (17), p.5989-6012

2022

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Global attractors for a class of semilinear degenerate parabolic equations

Open mathematics (Warsaw, Poland), 2021-05, Vol.19 (1), p.212-224

2021

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Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

Revista matemática iberoamericana, 2003-01, Vol.19 (3), p.971-1018

2003

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Lower bounds for blow-up time in nonlocal parabolic problem under Robin boundary conditions

Applicable analysis, 2019-06, Vol.98 (8), p.1403-1414

2019

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Existence and uniqueness of weak solutions for a system applied to image decomposition

Applicable analysis, 2018-12, Vol.97 (16), p.2830-2842

2018

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Nonlocal parabolic equation with conserved spatial integral

Archiv der Mathematik, 2015-07, Vol.105 (1), p.93-100

2015

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Large time behavior of solutions for a complex-valued quadratic heat equation

Nonlinear differential equations and applications, 2015-10, Vol.22 (5), p.1005-1045

2015

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Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

Advanced nonlinear studies, 2017-10, Vol.17 (4), p.739-767

2017

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Large time behavior of solutions to degenerate parabolic equations

Nonlinear differential equations and applications, 2015-04, Vol.22 (2), p.301-309

2015

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Near Field Asymptotic Behavior for the Porous Medium Equation on the Half-Line

Advanced nonlinear studies, 2017-05, Vol.17 (2), p.245-254

2017

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Complementary remarks to properties of the energy spectrum in Leith's model of turbulence

Zeitschrift für angewandte Mathematik und Mechanik, 2017-06, Vol.97 (6), p.664-669

2017

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Backward motion and waiting time phenomena for degenerate parabolic equations with nonlinear gradient absorption

Manuscripta mathematica, 2011-11, Vol.136 (3-4), p.475-500

2011

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GLOBAL AND BLOW-UP SOLUTIONS FOR THE NONLOCAL p-LAPLACIAN EVOLUTION EQUATION WITH WEIGHTED NONLINEAR NONLOCAL BOUNDARY CONDITION

The Journal of integral equations and applications, 2014-06, Vol.26 (2), p.171-196

2014

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SECONDARY CRITICAL EXPONENT AND LIFE SPAN FOR A DOUBLY SINGULAR PARABOLIC EQUATION WITH A WEIGHTED SOURCE

Acta mathematica scientia, 2016, Vol.36 (1), p.244-256

郑攀穆春来胡学刚张付臣

2016

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Complexity of asymptotic behavior of solutions for the porous medium equation with absorption

Acta mathematica scientia, 2010-11, Vol.30 (6), p.1865-1880

2010

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Qualitative analysis of a delayed non-Fickian model

Applicable analysis, 2008-08, Vol.87 (8), p.873-886

2008

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Coupling the Navier-Stokes Equations with a Short Term Dynamic of Sand Dunes

Shape Optimization, Homogenization and Optimal Control, 2018, Vol.169, p.191-211

2018

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On the Bakry-Emery criterion for linear diffusions and weighted porous media equations

Communications in mathematical sciences, 2008, Vol.6 (2), p.477-494

2008

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GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX

Acta mathematica scientia, 2011-03, Vol.31 (2), p.681-693

陈波涛米永生穆春来

2011

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Semidiscretization and Long-time Asymptotics of Nonlinear Diffusion Equations

Communications in mathematical sciences, 2007, Vol.5 (5), p.21-53

2007

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Fundamental solution and long time behavior of the Porous Medium Equation in hyperbolic space

Anisotropic p-Laplacian Evolution of Fast Diffusion Type

Approaching Critical Decay in a Strongly Degenerate Parabolic Equation

New contributions to a complex system of quadratic heat equations with a generalized kernels: global solutions

On a comparison principle for Trudinger’s equation

New critical curves for a doubly degenerate parabolic equation in half-line

Global attractors for a class of semilinear degenerate parabolic equations

Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

Lower bounds for blow-up time in nonlocal parabolic problem under Robin boundary conditions

Existence and uniqueness of weak solutions for a system applied to image decomposition

Nonlocal parabolic equation with conserved spatial integral

Large time behavior of solutions for a complex-valued quadratic heat equation

Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

Large time behavior of solutions to degenerate parabolic equations

Near Field Asymptotic Behavior for the Porous Medium Equation on the Half-Line

Complementary remarks to properties of the energy spectrum in Leith's model of turbulence

Backward motion and waiting time phenomena for degenerate parabolic equations with nonlinear gradient absorption

GLOBAL AND BLOW-UP SOLUTIONS FOR THE NONLOCAL p-LAPLACIAN EVOLUTION EQUATION WITH WEIGHTED NONLINEAR NONLOCAL BOUNDARY CONDITION

SECONDARY CRITICAL EXPONENT AND LIFE SPAN FOR A DOUBLY SINGULAR PARABOLIC EQUATION WITH A WEIGHTED SOURCE

Complexity of asymptotic behavior of solutions for the porous medium equation with absorption

Qualitative analysis of a delayed non-Fickian model

Coupling the Navier-Stokes Equations with a Short Term Dynamic of Sand Dunes

On the Bakry-Emery criterion for linear diffusions and weighted porous media equations

GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX

Semidiscretization and Long-time Asymptotics of Nonlinear Diffusion Equations

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