Finite time blow-up and global solutions for fourth order damped wave equations

被引：38

作者：

Wang, Yongda ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 418卷 / 02期

关键词：

Fourth order wave equation; Initial-boundary value problem; Damping term; Strong source term; NONTRIVIAL SOLUTIONS; EXISTENCE; OSCILLATIONS;

D O I：

10.1016/j.jmaa.2014.04.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to a class of fourth order wave equations with linear damping term and superlinear source term. After showing the uniqueness and existence of local solutions to the equations, we give necessary and sufficient conditions for global existence and finite time blow-up of these solutions. Moreover, the potential well depth is estimated. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：713 / 733

页数：21

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