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Start Over Author "Chen, Guowang" Journal mathematical methods in the applied sciences
2 results on '"Chen, Guowang"'

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

Author

Yang Zhijian and Chen Guowang

Subjects
Class (set theory), Partial differential equation, General Mathematics, Mathematical analysis, General Engineering, Boundary value problem, Non linear wave, Finite time, Wave equation, Mathematics
Abstract

This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation utt + uxxxx = σ(ux)x + f(x, t) and the Boussinesq-type equation utt + uxxxx = σ(u)xx + f(x, t). The paper proves that every above-mentioned problem has a unique global solution under rather mild confining conditions, and arrives at some sufficient conditions of blow-up of the solutions in finite time. Finally, a few examples are given. Copyright © 2000 John Wiley & Sons, Ltd.

Published
2000

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