Blow-up of solutions of some nonlinear hyperbolic systems

被引：25

作者：

Deng, K ^{[1
]}

机构：

[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1999年 / 29卷 / 03期

关键词：

D O I：

10.1216/rmjm/1181071610

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two hyperbolic systems: u(tt) = Delta u + \v\(p), v(tt) = Delta(v) + \u\(q) and u(tt) = Delta u + \v(t)\(p), v(tt) = Delta v + \u(t)\(q) in R-n x (0, infinity) with u(x, 0) = f(x), v(x, 0) = h(x), u(t)(x, 0) = g(x), (v)t(x, 0) = k(x). We show that there exists a bound B(n,p) such that if 1 < pq < B(n,p) all nontrivial solutions with compact support blow up in finite time.

引用

页码：807 / 820

页数：14

共 17 条

[1]

[Anonymous], 1983, APPROXIMATION NONLIN

[2]

CARPIO A, 1994, J MATH PURE APPL, V73, P471

[3] Nonexistence of global solutions of a nonlinear hyperbolic system [J].