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| HAL: hal-00444392, version 2 |
| arXiv: 1001.0910 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2010-01-06) | v2 (2011-06-06) |
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| Barenblatt profiles for a nonlocal porous media equation |
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| Piotr Biler 1Cyril Imbert 2 |
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| For the Polonium 20078TL collaboration(s) |
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| (2010-01-06) |
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| We study a generalization of the porous medium equation involving nonlocal terms. More precisely, explicit self-similar solutions with compact support generalizing the Barenblatt solutions are constructed. We also present a formal argument to get the $L^p$ decay of weak solutions of the corresponding Cauchy problem. |
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| 1: | Instytut Matematyczny |
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Uniwersytet Wroclawski |
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| 2: | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Self-similar solutions – $L^p$-estimates – porous medium equation – Riesz potential – fractional Laplacian |
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| Attached file list to this document: | ||||||||||
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| hal-00444392, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00444392 | |
| oai:hal.archives-ouvertes.fr:hal-00444392 | |
| From: Cyril Imbert | |
| Submitted on: Monday, 6 June 2011 12:09:45 | |
| Updated on: Monday, 6 June 2011 13:18:42 | |
