Blow-up solutions for a nonlinear wave equation with porous acoustic boundary condition

We study a nonlinear wave equation with porous acoustic boundary conditions in a bounded domain. We prove a finite time blow-up for certain solutions with positive initial energy.

Bibliographic Details
Main Author: Shun-Tang Wu
Format: Article
Language:English
Published: Texas State University 2013-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/20/abstr.html
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spelling doaj-f59e28b8c02849798c869ed23d4752652020-11-24T22:45:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-01-01201320,17Blow-up solutions for a nonlinear wave equation with porous acoustic boundary conditionShun-Tang WuWe study a nonlinear wave equation with porous acoustic boundary conditions in a bounded domain. We prove a finite time blow-up for certain solutions with positive initial energy. http://ejde.math.txstate.edu/Volumes/2013/20/abstr.htmlBlow-upacoustic boundary conditionsexponential growth
collection DOAJ
language English
format Article
sources DOAJ
author Shun-Tang Wu
spellingShingle Shun-Tang Wu
Blow-up solutions for a nonlinear wave equation with porous acoustic boundary condition
Electronic Journal of Differential Equations
Blow-up
acoustic boundary conditions
exponential growth
author_facet Shun-Tang Wu
author_sort Shun-Tang Wu
title Blow-up solutions for a nonlinear wave equation with porous acoustic boundary condition
title_short Blow-up solutions for a nonlinear wave equation with porous acoustic boundary condition
title_full Blow-up solutions for a nonlinear wave equation with porous acoustic boundary condition
title_fullStr Blow-up solutions for a nonlinear wave equation with porous acoustic boundary condition
title_full_unstemmed Blow-up solutions for a nonlinear wave equation with porous acoustic boundary condition
title_sort blow-up solutions for a nonlinear wave equation with porous acoustic boundary condition
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2013-01-01
description We study a nonlinear wave equation with porous acoustic boundary conditions in a bounded domain. We prove a finite time blow-up for certain solutions with positive initial energy.
topic Blow-up
acoustic boundary conditions
exponential growth
url http://ejde.math.txstate.edu/Volumes/2013/20/abstr.html
work_keys_str_mv AT shuntangwu blowupsolutionsforanonlinearwaveequationwithporousacousticboundarycondition
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