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A Liouville theorem for a heat equation and applications for quenching

Published 28 January 2011 • 2011 IOP Publishing Ltd & London Mathematical Society
, , Citation Nejla Nouaili 2011 Nonlinearity 24 797 DOI 10.1088/0951-7715/24/3/005

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Nejla Nouaili

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Université Paris Dauphine, CEREMADE, Place du maréchal de Lattre de Tassigny, 75016 Paris, France

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Dates

  1. Received 16 July 2010
  2. Published

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0951-7715/24/3/797

Abstract

We prove a Liouville theorem for a semilinear heat equation with absorption term in one dimension. We then derive from this theorem uniform estimates for quenching solutions of that equation.

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10.1088/0951-7715/24/3/005