Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations
We consider an abstract coupled evolution system of second order in time. For any positive value of the initial energy, in particular for high energies, we give sufficient conditions on the initial data to conclude nonexistence of global solutions. We compare our results with those in the literature...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2019-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2019/7405725 |
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doaj-6101b11a6b594ee4a1ea73c95b740bda2020-11-25T01:13:03ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/74057257405725Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic EquationsJorge A. Esquivel-Avila0Departamento de Ciencias Básicas, Análisis Matemático y sus Aplicaciones, UAM-Azcapotzalco, Av. San Pablo 180, Col. Reynosa Tamaulipas, 02200 México, DF, MexicoWe consider an abstract coupled evolution system of second order in time. For any positive value of the initial energy, in particular for high energies, we give sufficient conditions on the initial data to conclude nonexistence of global solutions. We compare our results with those in the literature and show how we improve them.http://dx.doi.org/10.1155/2019/7405725 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jorge A. Esquivel-Avila |
| spellingShingle |
Jorge A. Esquivel-Avila Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations Abstract and Applied Analysis |
| author_facet |
Jorge A. Esquivel-Avila |
| author_sort |
Jorge A. Esquivel-Avila |
| title |
Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations |
| title_short |
Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations |
| title_full |
Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations |
| title_fullStr |
Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations |
| title_full_unstemmed |
Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations |
| title_sort |
blow-up of solutions with high energies of a coupled system of hyperbolic equations |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2019-01-01 |
| description |
We consider an abstract coupled evolution system of second order in time. For any positive value of the initial energy, in particular for high energies, we give sufficient conditions on the initial data to conclude nonexistence of global solutions. We compare our results with those in the literature and show how we improve them. |
| url |
http://dx.doi.org/10.1155/2019/7405725 |
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