Singular limit of changing sign solutions of the porous medium equation

Noureddine Igbida () and Philippe Benilan
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Noureddine Igbida: Université de Picardie Jules Verne, LAMFA, CNRS-UMR 6140
Philippe Benilan: UMR-CNRS 6623 Université de Franche-Comté, Equipe de Mathématiques

A chapter in Nonlinear Evolution Equations and Related Topics, 2003, pp 215-224 from Springer

Abstract: Abstract In this paper, we study the limit as m→ ∞ of changing sign solutions of the porous medium equation: u t = Δ:|u| m-1 u in a domain Ω of ℝ N with Dirichlet boundary condition.

Keywords: Singular limit; porous medium equation; changing sign solution; Hele-Shaw problem; Mesa problem; Nonlinear semigroup of contractions (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_11

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DOI: 10.1007/978-3-0348-7924-8_11

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