Functional inequalities and applications to doubly nonlinear diffusion equations

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Advances in Calculus of Variations

سال: 2022

ISSN: ['1864-8258', '1864-8266']

DOI: https://doi.org/10.1515/acv-2022-0021