A Liouville theorem for a heat equation and applications for quenching

Author: Nouaili Nejla  

Publisher: IOP Publishing

ISSN: 0951-7715

Source: Nonlinearity, Vol.24, Iss.3, 2011-03, pp. : 797-832

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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.