SCHAUDER ESTIMATES FOR SOLUTIONS OF LINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

被引：25

作者：

Jin, Tianling ^{[1
]}

Xiong, Jingang ^{[2
]}

机构：

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

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 12期

基金：

美国国家科学基金会;

关键词：

Integro-differential equations; Schauder estimates; MAXIMUM PRINCIPLE; REGULARITY THEORY; OPERATORS; INTERIOR;

D O I：

10.3934/dcds.2015.35.5977

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove optimal pointwise Schauder estimates in the spatial variables for solutions of linear parabolic integro-differential equations. Optimal Holder estimates in space-time for those spatial derivatives are also obtained.

引用

页码：5977 / 5998

页数：22

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