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| HAL : hal-00528233, version 1 |
| arXiv : 1010.4444 |
| Fiche détaillée |  Récupérer au format |
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| On a nonlinear heat equation associated with Dirichlet -- Robin conditions |
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| Le Thi Phuong Ngoc 1Nguyen Van Y 2 |
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| (21/10/2010) |
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| This paper is devoted to the study of a nonlinear heat equation associated with Dirichlet-Robin conditions. At first, we use the Faedo -- Galerkin and the compactness method to prove existence and uniqueness results. Next, we consider the properties of solutions. We obtain that if the initial condition is bounded then so is the solution and we also get asymptotic behavior of solutions as. Finally, we give numerical results |
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| 1 : | Mathematics department |
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Nhatrang Educational College |
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| 2 : | University of Natural Science, Vietnam National University HoChiMinhCity (UNS-HCMC) |
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University of Natural Science, HoChiMinhCity |
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| 3 : | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Faedo - Galerkin method – nonlinear heat equation – Robin conditions – Asymptotic behavior of the solution |
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| hal-00528233, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00528233 | |
| oai:hal.archives-ouvertes.fr:hal-00528233 | |
| Contributeur : Alain Pham Ngoc Dinh | |
| Soumis le : Jeudi 21 Octobre 2010, 12:18:05 | |
| Dernière modification le : Jeudi 21 Octobre 2010, 13:53:13 | |
