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Laboratoire de Mathématiques Raphaël Salem - HAL Collection |  |
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Laboratoire de Mathématiques Raphaël Salem - HAL Collection | |
| HAL: hal-00311535, version 1 |
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| Advances in Mathematical Sciences and Applications 17, 2 (2007) 357--368 |
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| Uniqueness of the solution to quasilinear elliptic equations under a local condition on the diffusion matrix |
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| Olivier Guibé 1 |
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| (2007) |
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| We prove the uniqueness of the renormalized solution to the elliptic equation $-\diw(\A(x,u)Du)=f+\diw(g)$. The data $f+\diw(g)$ belongs to $L^1+H^{-1}$ and we assume a local condition on the diffusion matrix $\A(x,s)$ with respect to $s$. |
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| 1: | Laboratoire de Mathématiques Raphaël Salem (LMRS) |
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CNRS : UMR6085 – Université de Rouen |
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| Subject | : | Mathematics/Analysis of PDEs |
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| uniqueness – quasilinear elliptic equations – renormalized solutions |
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| hal-00311535, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00311535 | |
| oai:hal.archives-ouvertes.fr:hal-00311535 | |
| From: Olivier Guibé | |
| Submitted on: Monday, 18 August 2008 22:41:12 | |
| Updated on: Tuesday, 19 August 2008 09:08:36 | |
