Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms-Reference-Cited by-同舟云学术

Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms

Published:2011 Issue: Volume:2011 Page:1-14
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Fei Liang¹²,Hongjun Gao¹

Affiliation:

1. Jiangsu Provincial Key Laboratory for NSLSCS, School of Mathematical Science, Nanjing Normal University, Nanjing 210046, China

2. Department of Mathematics, Anhui Science and Technology University, Fengyang 233100, Anhui, China

Abstract

This work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting on both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/760209.pdf

Reference30 articles.

1. Decay estimates for some semilinear damped hyperbolic problems

2. REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS

3. The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types

4. Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

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