Functional inequalities and applications to doubly nonlinear diffusion equations-Reference-Cited by-同舟云学术

Functional inequalities and applications to doubly nonlinear diffusion equations

Published:2022-11-11 Issue:0 Volume:0 Page:
ISSN:1864-8258
Container-title:Advances in Calculus of Variations
language:en
Short-container-title:

Author:

Chlebicka Iwona¹^ORCID,Simonov Nikita²^ORCID

Affiliation:

1. Faculty of Mathematics, Informatics and Mechanics , University of Warsaw , ul. Banacha 2, 02-097 Warsaw , Poland

2. Faculté des Sciences et Ingénierie , Sorbonne Université , 4 Place Jussieu, 75005 Paris , France

Abstract

Abstract We study weighted inequalities of Hardy and Hardy–Poincaré type and find necessary and sufficient conditions on the weights so that the considered inequalities hold. Examples with the optimal constants are shown. Such inequalities are then used to quantify the convergence rate of solutions to doubly nonlinear fast diffusion equation towards the Barenblatt profile.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2022-0021/pdf

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