Nonexistence of global solutions of

a nonlinear hyperbolic system

Author:
Keng Deng

Journal:
Trans. Amer. Math. Soc. **349** (1997), 1685-1696

MSC (1991):
Primary 35L15, 35L55, 35L70

DOI:
https://doi.org/10.1090/S0002-9947-97-01841-2

MathSciNet review:
1401767

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Abstract | References | Similar Articles | Additional Information

Abstract: Consider the initial value problem

with and . We show that there exists a bound such that if all nontrivial solutions with compact support blow up in finite time.

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Additional Information

**Keng Deng**

Affiliation:
Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana 70504

Email:
kxd5858@usl.edu

DOI:
https://doi.org/10.1090/S0002-9947-97-01841-2

Received by editor(s):
March 16, 1995

Received by editor(s) in revised form:
December 1, 1995

Article copyright:
© Copyright 1997
American Mathematical Society