Nonlinear anisotropic degenerate parabolic equations with variable exponents and irregular data

被引：0
作者：
Hellal Abdelaziz
Fares Mokhtari
机构：
[1] ENS,Laboratory of Functional Analysis and Geometry of Spaces, Mohamed Boudiaf
[2] Algiers University,M’sila, University, P.O. Box 166 M’sila 28000, Algeria & Department of Mathematics
来源：
Journal of Elliptic and Parabolic Equations | 2022年 / 8卷
关键词：
Anisotropic parabolic equations; Variable exponents; Degenerate coercivity; Regularity of weak solution; Irregular data; 35K55; 35K65;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence and the regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with pi(·)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p_i(\cdot )$$\end{document} growth conditions, degenerate coercivity and Lm(·)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{m(\cdot )}$$\end{document} data, with m(·)>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m(\cdot )>1$$\end{document} being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.
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页码：513 / 532
页数：19
相关论文
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