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

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

Abstract 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 t...

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Bibliographic Details
Main Authors: Hongwei Zhang, Wenxiu Zhang, Qingying Hu
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Boundary Value Problems
Subjects:
Global existence
Blow-up
Dynamical boundary condition
Wave equation
Potential well theory
Online Access:http://link.springer.com/article/10.1186/s13661-019-1129-9

Internet

http://link.springer.com/article/10.1186/s13661-019-1129-9

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