Logarithmic Sobolev inequalities for bounded domains and applications to drift-diffusion equations

被引：0

作者：

Abdo, Elie ^{[1
]}

Lee, Fizay-Noah ^{[2
]}

机构：

[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37235 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2025年 / 288卷 / 01期

关键词：

Logarithmic Sobolev inequalities; Interpolation; Nernst-Planck equations; Long-time dynamics; NERNST-PLANCK;

D O I：

10.1016/j.jfa.2024.110716

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove logarithmic Sobolev inequalities on higher-dimensional bounded smooth domains based on novel GagliardoNirenberg type interpolation inequalities. Moreover, we use them to address the long-time dynamics of some nonlinear nonlocal drift-diffusion models and prove the exponential decay of their solutions to constant steady states. (c) 2024 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).

引用

页数：13

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