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
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.
引用
收藏
页码:491 / 541
页数:51
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