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Singular limit of changing sign solutions of the porous medium equation

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Abstract.

In this paper, we study the limit as \( m\to\infty \) of changing sign solutions of the porous medium equation: \( u_t=\Delta: \vert u\vert^{m-1}u \) in a domain \( \Omega \) of \( \mathbb{R}^N \), with Dirichlet boundary condition.

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Authors and Affiliations

  1. LAMFA, CNRS-UMR 6140, Université de Picardie Jules Verne, 33 rue Saint Leu, 80038 Amiens, France, e-mail: noureddine.igbida@u-picardie.fr, , , , , , FR

    Philippe Benilan

  2. Equipe de Mathématiques, UMR-CNRS 6623, Université de Franche-Comté, Route de Gray, 25030 Besançon, France, , , , , , FR

    Noureddine Igbida

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  1. Philippe Benilan
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  2. Noureddine Igbida
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Benilan, P., Igbida, N. Singular limit of changing sign solutions of the porous medium equation. J.evol.equ. 3, 215–224 (2003). https://doi.org/10.1007/s00028-003-0088-9

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  • DOI: https://doi.org/10.1007/s00028-003-0088-9

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