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

作　　者：唐素芳[1] 

机构地区：[1]西安财经学院统计学院,陕西西安710100

出　　处：《应用数学》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)

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.

关 键 词：抛物方程 MORREY空间 CAMPANATO空间 VMO函数 HOLDER连续性 

分 类 号：O175.26[理学—数学]