A priori estimates and theory of existence for parabolic equations in variable Holder spaces

被引：2
|
作者：
Bies, Piotr Michal [1 ]
机构：
[1] Warsaw Univ Technol, Fac Math & Informat Sci, Ul Koszykowa 75, PL-00662 Warsaw, Poland
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 287卷
关键词：
Variable Holder spaces; Schauder estimates; Variable exponent spaces; Parabolic equations; SOBOLEV SPACES; CONTINUITY; INEQUALITIES; GRADIENT;
D O I：
10.1016/j.jde.2021.04.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study parabolic equations in variable Holder spaces on domains of Euclidean spaces. The existence and uniqueness of solutions is proved. (C) 2021 Elsevier Inc. All rights reserved.
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页码：491 / 541
页数：51
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