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| HAL: hal-00154558, version 2 |
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| Available versions: | v1 (2007-06-14) | v2 (2011-03-14) |
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| On the strong convergence of the gradient in nonlinear parabolic equations |
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Michel Pierre 1Julien Vovelle 2 |
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| (2011-03-14) |
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| We consider the Cauchy-Dirichlet Problem for a nonlinear parabolic equation with L1 data. We show how the concept of kinetic formulation for conservation laws [Lions, Perthame, Tamor 94] can be be used to give a new proof of the existence of renormalized solutions. To illustrate this approach, we also extend the method to the case where the equation involves an additional gradient term. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – INSA Rennes – Université Rennes II |
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| 2: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées de Lyon |
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| Analyse numérique |
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| Subject | : | Mathematics/Analysis of PDEs |
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| hal-00154558, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00154558 | |
| oai:hal.archives-ouvertes.fr:hal-00154558 | |
| From: Julien Vovelle | |
| Submitted on: Monday, 14 March 2011 14:58:23 | |
| Updated on: Monday, 14 March 2011 16:51:26 | |
