Porous medium equation with nonlocal pressure in a bounded domain (Q4628882)

scientific article; zbMATH DE number 7041247

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English	Porous medium equation with nonlocal pressure in a bounded domain	scientific article; zbMATH DE number 7041247

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instance of

scholarly article

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title

Porous medium equation with nonlocal pressure in a bounded domain (English)

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published in

Communications in Partial Differential Equations

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publication date

25 March 2019

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full work available at URL

https://arxiv.org/abs/1708.00660

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zbMATH Keywords

nonlocal nonlinear parabolic equations

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fractional Laplacian on a bounded domain

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MaRDI profile type

MaRDI publication profile

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cites work

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Macroscopic evolution of particle systems with short- and long-range interactions

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Asymptotic behaviour of a porous medium equation with fractional diffusion

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Regularity of solutions of the fractional porous medium flow with exponent $1/2$

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Finite and infinite speed of propagation for porous medium equations with fractional pressure

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Finite and infinite speed of propagation for porous medium equations with nonlocal pressure

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Transformations of self-similar solutions for porous medium equations of fractional type

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Flows and functional inequalities for fractional operators

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A fractional porous medium equation

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A General Fractional Porous Medium Equation

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Nonlocal and nonlinear diffusions and interactions: new methods and directions. Cetraro, Italy, July 4--8, 2016. Lecture notes given at the course

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Pointwise estimates and existence of solutions of porous medium and p-Laplace evolution equations with absorption and measure data

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Some Inequalities for Submarkovian Generators and Their Applications to the Perturbation Theory

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An Extension Problem Related to the Fractional Laplacian

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Compact sets in the space $L^ p(0,T;B)$

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Q4488214

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Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data

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Fractional elliptic equations, Caccioppoli estimates and regularity

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A note on Riesz potentials

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The inhomogeneous Dirichlet problem in Lipschitz domains

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Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains

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Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains

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Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains

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Quantitative local and global a priori estimates for fractional nonlinear diffusion equations

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Fractional nonlinear degenerate diffusion equations on bounded domains. I: Existence, uniqueness and upper bounds.

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Classical solutions and higher regularity for nonlinear fractional diffusion equations

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Optimal existence and uniqueness theory for the fractional heat equation

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Non-existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations

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Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices

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A gradient flow approach to an evolution problem arising in superconductivity

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A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators

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Identifiers

zbMATH Open document ID

1409.35224

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DOI

10.1080/03605302.2018.1475492

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4628882