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| Existence and non-existence of global solutions to initial boundary value problems for nonlinear evolution equations with the strong dissipation |
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| Akisato Kubo1Jean-Pierre Lohéac2, 3 |
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| The main purpose in this paper is to investigate existence and non-existence of global solutions of the initial Dirichlet-boundary value problem for evolution equations with the strong dissipation. Many authors studied some classes consisting of such type of equations for which initial boundary value problems possess global solutions. For this purpose we consider a related problem and seek global solutions ans blow-up solutions depending on whether it belongs to such classes or not. |
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| 1: | Department of Mathematics, School of Health Sciences |
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| 2: | ICJ - Institut Camille Jordan |
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| 3: | LIFR-MI2P - Laboratoire J.-V. Poncelet |
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| evolution equation – strong dissipation – blow-up – global existence |
| hal-00361333, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00361333 | |
| oai:hal.archives-ouvertes.fr:hal-00361333 | |
| From: Jean-Pierre Loheac | |
| Submitted on: Sunday, 15 February 2009 20:29:03 | |
| Updated on: Monday, 16 February 2009 10:32:22 | |
