A gradient estimate for solutions of the heat equation II

被引：4

作者：

Kahane, CS ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2001年 / 51卷 / 01期

关键词：

gradient estimate; heat equation; maximum principle;

D O I：

10.1023/A:1013745503001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The author obtains an estimate for the spatial gradient of solutions of the heat equation, subject to a homogeneous Neumann boundary condition, in terms of the gradient of the initial data. The proof is accomplished via the maximum principle; the main assumption is that the sufficiently smooth boundary be convex.

引用

页码：39 / 44

页数：6