A Parabolic Problem with a Fractional Time Derivative

被引：154

作者：

Allen, Mark ^{[1
]}

Caffarelli, Luis ^{[1
]}

Vasseur, Alexis ^{[1
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2016年 / 221卷 / 02期

基金：

美国国家科学基金会;

关键词：

REGULARITY; OPERATORS;

D O I：

10.1007/s00205-016-0969-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study regularity for a parabolic problem with fractional diffusion in space and a fractional time derivative. Our main result is a De Giorgi-Nash-Moser Holder regularity theorem for solutions in a divergence form equation. We also prove results regarding existence, uniqueness, and higher regularity in time.

引用

收藏

页码：603 / 630

页数：28

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