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.
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Texas State University
2013-01-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2013/20/abstr.html |
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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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1725689592443568128 |