GRADIENT ESTIMATES FOR THE HEAT EQUATION IN THE EXTERIOR DOMAINS UNDER THE NEUMANN BOUNDARY CONDITION

被引：1

作者：

Ishige, Kazuhiro ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2009年 / 22卷 / 5-6期

关键词：

UNBOUNDED COEFFICIENTS; PARABOLIC PROBLEMS; DERIVATIVES; KERNEL; BALL;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy-Neumann problem for the heat equation in the exterior domain Omega of a compact set in R(N) (N >= 2). In this paper we give an estimate of the L(infinity)-norm of the gradient of the solutions.

引用

页码：401 / 410

页数：10

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