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Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure

  • Published:2015-02 Issue:3 Volume:258 Page:736-763
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Carrillo J.A.,Huang Y.ORCID,Santos M.C.,Vázquez J.L.

Funder

Agència de Gestió d'Ajuts Universitaris i de Recerca-Generalitat de Catalunya

Royal Society through a Wolfson Research Merit Award

Engineering and Physical Sciences Research Council

UK

CAPES

Spanish Project

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference39 articles.

1. Nonlinear porous medium flow with fractional potential pressure;Caffarelli;Arch. Ration. Mech. Anal.,2011

2. Asymptotic behaviour of a porous medium equation with fractional diffusion;Caffarelli;Discrete Contin. Dyn. Syst.,2011

3. Foundations of Modern Potential Theory;Landkof,1972

4. Singular Integrals and Differentiability Properties of Functions;Stein,1970

5. A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity;Carrillo;Adv. Math.,2012

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2. Multipole Expansion of the Fundamental Solution of a Fractional Degree of the Laplace Operator;Journal of Mathematical Sciences;2023-10

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