Existence and nonexistence of global solutions of the wave equation with a nonlinear boundary condition

被引：4

作者：

Ackleh, AS ^{[1
]}

Deng, K ^{[1
]}

机构：

[1] Univ Louisiana, Dept Math, Lafayette, LA 70506 USA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2001年 / 59卷 / 01期

关键词：

Asymptotic stability - Boundary conditions - Initial value problems - Integral equations - Mathematical transformations - Problem solving - Theorem proving;

D O I：

10.1090/qam/1811100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the initial-boundary value problem u(tt) = u(xx), 0 < x < infinity, t >0, -u(x)(0,t) = h(u(0,t)), t<0 u(x,0) = f(x), u(t)(x,0) = g(x), 0 < x <<infinity>. We establish criteria, for existence and nonexistence of global solutions, and we present the growth rate at blow-up.

引用

页码：153 / 158

页数：6

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