Parabolic weighted Sobolev-Poincare type inequalities

被引：0
|
作者：
Diening, Lars [1 ]
Lee, Mikyoung [2 ]
Ok, Jihoon [3 ]
机构：
[1] Univ Bielefeld, Univ Str 25, D-33615 Bielefeld, Germany
[2] Pusan Natl Univ, Dept Math, Busan 46241, South Korea
[3] Sogang Univ, Dept Math, Seoul 04107, South Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 218卷
基金：
新加坡国家研究基金会;
关键词：
Sobolev-Poincare inequality; Parabolic equation; Weight; Parabolic Muckenhoupt class; HARNACK INEQUALITY; FRACTIONAL INTEGRALS; EQUATIONS; SPACES;
D O I：
10.1016/j.na.2021.112772
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive weighted Sobolev-Poincare type inequalities in function spaces concerned with parabolic partial differential equations. We consider general weights depending on both space and time variables belonging to a Muckenhoupt class, so-called the parabolic A(p)-class, where only the parabolic cubes are involved in the definition. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：13
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