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Singular limit of changing sign solutions of the porous medium equation

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Nonlinear Evolution Equations and Related Topics

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 ℝN with Dirichlet boundary condition.

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Igbida, N., Benilan, P. (2003). Singular limit of changing sign solutions of the porous medium equation. In: Arendt, W., Brézis, H., Pierre, M. (eds) Nonlinear Evolution Equations and Related Topics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7924-8_11

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  • DOI: https://doi.org/10.1007/978-3-0348-7924-8_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-7107-4

  • Online ISBN: 978-3-0348-7924-8

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