Fourth order wave equations with nonlinear strain and source terms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:331

Article

Liu Yacheng ; Xu Runzhang

关键词: fourth order wave equations;    nonlinear strain;    potential wells;    global existence;    vacuum isolating;   

DOI  :  10.1016/j.jmaa.2006.09.010

来源: Elsevier

【 摘 要 】

In this paper we study the initial boundary value problem for fourth order wave equations with nonlinear strain and source terms. First we introduce a family of potential wells and prove the invariance of some sets and vacuum isolating of solutions. Then we obtain a threshold result of global existence and nonexistence. Finally we discuss the global existence of solutions for the problem with critical initial condition I (u(0)) >= 0, E(0) = d. So the Esquivel-Avila's results are generalized and improved. (C) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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