Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms
This work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting on both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/760209 |
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| _version_ | 1832550288360210432 |
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| author | Liang Fei Gao Hongjun |
| author_facet | Liang Fei Gao Hongjun |
| author_sort | Liang Fei |
| collection | DOAJ |
| description | This work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting on both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy. |
| format | Article |
| id | doaj-art-869f4003053540ef835638d370ea3df4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-869f4003053540ef835638d370ea3df42025-02-03T06:07:15ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/760209760209Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source TermsLiang Fei0Gao Hongjun1Jiangsu Provincial Key Laboratory for NSLSCS, School of Mathematical Science, Nanjing Normal University, Nanjing 210046, ChinaJiangsu Provincial Key Laboratory for NSLSCS, School of Mathematical Science, Nanjing Normal University, Nanjing 210046, ChinaThis work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting on both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy.http://dx.doi.org/10.1155/2011/760209 |
| spellingShingle | Liang Fei Gao Hongjun Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms Abstract and Applied Analysis |
| title | Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms |
| title_full | Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms |
| title_fullStr | Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms |
| title_full_unstemmed | Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms |
| title_short | Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms |
| title_sort | global nonexistence of positive initial energy solutions for coupled nonlinear wave equations with damping and source terms |
| url | http://dx.doi.org/10.1155/2011/760209 |
| work_keys_str_mv | AT liangfei globalnonexistenceofpositiveinitialenergysolutionsforcouplednonlinearwaveequationswithdampingandsourceterms AT gaohongjun globalnonexistenceofpositiveinitialenergysolutionsforcouplednonlinearwaveequationswithdampingandsourceterms |