Holder Regularity for the Linearized Porous Medium Equation in Bounded Domains

被引：0

作者：

Jin, Tianling ^{[1
]}

Xiong, Jingang ^{[2
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, MOE, Beijing 100875, Peoples R China

来源：

ANALYSIS IN THEORY AND APPLICATIONS | 2024年 / 40卷 / 02期

基金：

国家重点研发计划;

关键词：

Singular parabolic equations; degenerate parabolic equations; regularity; porous medium equations;

D O I：

10.4208/ata.OA-2023-0015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we systematically study weak solutions of a linear singular or degenerate parabolic equation in a mixed divergence form and nondivergence form, which arises from the linearized fast diffusion equation and the linearized porous medium equation with the homogeneous Dirichlet boundary condition. We prove the Ho<spacing diaeresis>lder regularity of their weak solutions.

引用

页码：111 / 171

页数：61

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