含不连续系数的p-Laplace抛物方程的正则性(英文)

Regularity for p-Laplacian Parabolic Equation with Discontinuous Coefficients

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摘要当系数矩阵满足一定的VMO条件时,利用Campanato凝固系数方法,证明一类退化抛物方程弱解的Morrey正则性.并且,利用H?lder连续函数的积分特征,对方程弱解建立局部最优H?lder连续性. The Morrey regularity for weak solutions to a class of degenerate parabolic equation is proved by using Campanato＇s freezing method when the coefficient matrices satisfy certain VMO conditions. Moreover,we establish the local optimal HOlder continuity for the weak solutions by the integral characteristic of HOlder continuous functions.

作者唐素芳

机构地区西安财经学院统计学院

出处《应用数学》 CSCD 北大核心 2015年第1期181-190,共10页 Mathematica Applicata

基金 Supported by the Chinese National Science Fund for Distinguished Young Scholars(11101319,11201081,11202035) the Foundation of Shaanxi Province Education Department(14JK1276) the Foundation of Shaanxi Statistical Research Center(13JD04)

关键词抛物方程 MORREY空间 CAMPANATO空间 VMO函数 HOLDER连续性 Parabolic equation Morrey space Campanato space VMO functionHolder continuity

分类号 O175.26 [理学—基础数学]

作者简介 TANG Sufang, female, Han,Liaoning,lecturer,major in partial differential equation.

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含不连续系数的p-Laplace抛物方程的正则性(英文)

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