Continuous dependence on the nonlinearity of viscosity solutions of parabolic equations

被引：9

作者：

Cockburn, B ^{[1
]}

Gripenberg, G ^{[1
]}

Londen, SO ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 170卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jdeq.2000.3802

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper establishes an upper bound for u-v where u is a subsolution of u(1) + F(u, D(x)u, D(x)(2)u) = 0, and v is a supersolution of v(1) + G(v, D(x)v, D-x(2), V) = 0, in (0, alpha) X Ohm with Neumann boundary conditions and where Ohm is an open convex set. (C) 2001 Academic Press.

引用

页码：180 / 187

页数：8

共 4 条

[1] Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations [J].