✦ LIBER ✦

Existence and non-existence of global solutions for a class of non-linear wave equations

✍ Scribed by Chen Guowang; Yang Zhijian

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 135 KB
Volume: 23
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(20000510)23:7<615::aid-mma133>3.0.co;2-e

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✦ Synopsis

This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation

The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient conditions of blow-up of the solutions in "nite time. Finally, a few examples are given.

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