HOLDER CONTINUITY FOR INTEGRO-DIFFERENTIAL PARABOLIC EQUATIONS WITH POLYNOMIAL GROWTH RESPECT TO THE GRADIENT

被引：9

作者：

Silvestre, Luis ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 28卷 / 03期

基金：

美国国家科学基金会;

关键词：

parabolic equations; integro-differential equations; Holder regularity;

D O I：

10.3934/dcds.2010.28.1069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the solution to a parabolic integro-differential equation with a gradient dependence that satisfies a critical power growth becomes immediately Holder continuous. We also obtain some results in the supercritical case.

引用

页码：1069 / 1081

页数：13

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