A Priori Estimates for Fully Nonlinear Parabolic Equations

被引：19

作者：

Tian, Guji ^{[1
]}

Wang, Xu-Jia ^{[2
]}

机构：

[1] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

[2] Australian Natl Univ, Ctr Math & Its Applicat, Canberra, ACT 0200, Australia

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 17期

基金：

澳大利亚研究理事会;

关键词：

REGULARITY THEORY; INTERIOR;

D O I：

10.1093/imrn/rns169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the Holder continuity of the second derivatives D-x(2) for fully nonlinear, uniformly parabolic equations. We assume the inhomogeneous term f is Holder continuous with respect to the spatial variables x and bounded and measurable with respect to the time t. As an application, we obtain higher regularity for curvature flows with volume constraints.

引用

页码：3857 / 3877

页数：21

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