Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms

被引：0
作者：
Hongwei Zhang
Wenxiu Zhang
Qingying Hu
机构：
[1] Henan University of Technology,Department of Mathematics
来源：
Boundary Value Problems | / 2019卷
关键词：
Global existence; Blow-up; Dynamical boundary condition; Wave equation; Potential well theory; 35A01; 35L35; 35B44; 76X05;
D O I：
暂无
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学科分类号：
摘要：
This paper is concerned with semilinear wave equations with nonlinear interior and boundary sources and subject to a nonlinear dynamical boundary condition. By using the potential well method combined with a standard continuous argument, under appropriate assumptions imposed on the source term, we establish global existence of solutions. Moreover, for certain initial data in the unstable set, the finite time blow-up phenomenon is exhibited.
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