Flows and functional inequalities for fractional operators

DOI10.1080/00036811.2017.1286647zbMath1499.35629arXiv1611.09597OpenAlexW2558816802WikidataQ58260048 ScholiaQ58260048MaRDI QIDQ5350646

An Zhang, Jean Dolbeault

Publication date: 1 September 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09597

zbMATH Keywords

rate of convergenceasymptotic behaviorself-similar solutionslinearizationentropy methodsself-similar variablesfractional Sobolev inequalityentropy-entropy production inequalityfractional fast diffusion equationintermediate asymptoticsRényi entropy powers\textit{carré du champ}fractional Gagliardo-Nirenberg-Sobolev inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Fractional derivatives and integrals (26A33) Degenerate parabolic equations (35K65) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (7)

Long-time asymptotics for a 1D nonlocal porous medium equation with absorption or convection ⋮ On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure ⋮ An overview on extremals and critical points of the Sobolev inequality in convex cones ⋮ Porous medium equation with nonlocal pressure in a bounded domain ⋮ Existence of weak solutions for a general porous medium equation with nonlocal pressure ⋮ Energy and large time estimates for nonlinear porous medium flow with nonlocal pressure in \(\mathbb{R}^N\) ⋮ Sharp gradient stability for the Sobolev inequality

This page was built for publication: Flows and functional inequalities for fractional operators