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Global nonexistence of solutions with positive initial energy for a class of wave equations

✍ Scribed by Wenjun Liu; Mingxin Wang

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
111 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this study, we consider a class of wave equations with strong damping and source terms associated with initial and Dirichlet boundary conditions. We establish a blow up result for certain solutions with nonpositive initial energy as well as positive initial energy. This further improves the results by Yang (Math. Meth. Appl. Sci. 2002; 25:825–833) and Messaudi and Houari (Math. Meth. Appl. Sci. 2004; 27: 1687–1696). Copyright Β© 2008 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

Existence and non-existence of global so
Existence and non-existence of global solutions for a class of non-linear wave equations
✍ Chen Guowang; Yang Zhijian πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 135 KB πŸ‘ 2 views

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 con