Hölder continuity of weak solutions to evolution equations with distributed order fractional time derivative

被引：3

作者：

Kubica, Adam ^{[1
]}

Ryszewska, Katarzyna ^{[1
]}

Zacher, Rico ^{[2
]}

机构：

[1] Warsaw Univ Technol, Dept Math & Informat Sci, Pl Politechn 1, PL-00661 Warsaw, Poland

[2] Univ Ulm, Inst Appl Anal, D-89069 Ulm, Germany

来源：

MATHEMATISCHE ANNALEN | 2024年 / 390卷 / 02期

关键词：

35R09; 45K05; 35B65; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; HARNACKS INEQUALITY; VOLTERRA-EQUATIONS; DIFFUSION EQUATION;

D O I：

10.1007/s00208-024-02806-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the regularity of weak solutions to evolution equations with distributed order fractional time derivative. We prove a weak Harnack inequality for nonnegative weak supersolutions and Holder continuity of weak solutions to this problem. Our results substantially generalise analogous known results for the problem with single order fractional time derivative.

引用

页码：2513 / 2592

页数：80

共 34 条

[1] A Parabolic Problem with a Fractional Time Derivative [J].