Hlder Continuity of the Gradient of Solutions of Nonlinear Degenerate Parabolic Systems

被引：0

作者：

陈亚渐 ^{[1
]}

机构：

[1] Department of Mathematics, Peking University

来源：

Acta Mathematica Sinica,English Series | 1986年 / 04期

关键词：

一仃; lder Continuity of the Gradient of Solutions of Nonlinear Degenerate Parabolic Systems;

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摘要：

§1. Introduction In this paper we consider the parabolic system (?)t/(?)u~i-div(|▽u|▽u~i)=0(1≤i≤m), with p>1, where u~i=u~i(x, t), ▽=gradand x varies in an open domain Ω(?)R~N. The system is degenerate if p>2 or singular if 1<p<2. A vector function u=(u, u, …, u) defined in Ω=Ω×[0, T] is called a solution of the system (1.1) if

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页码：309 / 331

页数：23