SCHAUDER ESTIMATES FOR SOLUTIONS OF LINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

被引：26
|
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.
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页码：5977 / 5998
页数：22
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