Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms
We consider initial-boundary conditions for coupled nonlinear wave equations with damping and source terms. We prove that the solutions of the problem are unbounded when the initial data are large enough in some sense.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/523254 |
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doaj-d60c2577051e4fa6b5b9f4ff7a142d962021-07-02T01:40:52ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/523254523254Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source TermsErhan Pişkin0Department of Mathematics, Dicle University, 21280 Diyarbakir, TurkeyWe consider initial-boundary conditions for coupled nonlinear wave equations with damping and source terms. We prove that the solutions of the problem are unbounded when the initial data are large enough in some sense.http://dx.doi.org/10.1155/2015/523254 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Erhan Pişkin |
| spellingShingle |
Erhan Pişkin Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms Advances in Mathematical Physics |
| author_facet |
Erhan Pişkin |
| author_sort |
Erhan Pişkin |
| title |
Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_short |
Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_full |
Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_fullStr |
Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_full_unstemmed |
Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_sort |
growth of solutions with positive initial energy to systems of nonlinear wave equations with damping and source terms |
| publisher |
Hindawi Limited |
| series |
Advances in Mathematical Physics |
| issn |
1687-9120 1687-9139 |
| publishDate |
2015-01-01 |
| description |
We consider initial-boundary conditions for coupled nonlinear wave
equations with damping and source terms. We prove that the solutions of the problem are
unbounded when the initial data are large enough in some sense. |
| url |
http://dx.doi.org/10.1155/2015/523254 |
| work_keys_str_mv |
AT erhanpiskin growthofsolutionswithpositiveinitialenergytosystemsofnonlinearwaveequationswithdampingandsourceterms |
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