Marcinkiewicz regularity for singular parabolic p-Laplace type equations with measure data

被引：1

作者：

Park, Jung -Tae ^{[1
]}

机构：

[1] Korea Univ Technol & Educ, Sch Liberal Arts, Cheonan 31253, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 223卷

基金：

新加坡国家研究基金会;

关键词：

Singular parabolic equation; Measure data; Marcinkiewicz space; UNIQUENESS; EXISTENCE; CAPACITY; SYSTEMS;

D O I：

10.1016/j.na.2022.113073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider quasilinear parabolic equations with measurable coefficients when the right-hand side is a signed Radon measure with finite total mass, having p-Laplace type: u(t) - div a(Du, x, t) = mu in omega x (0, T) subset of R-n x R. In the singular range 2n/n+1 < p <= 2 - 1/n+1 , we establish regularity estimates for the spatial gradient of solutions in the Marcinkiewicz spaces, under a suitable density condition of the right-hand side measure. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：17

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