A Liouville theorem for a heat equation and applications for quenching

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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Veröffentlicht in:	Nonlinearity 2011-03, Vol.24 (3), p.797-832
1. Verfasser:	Nouaili, Nejla
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Estimates Exact sciences and technology Global analysis, analysis on manifolds Heat equations Liouville theorem Mathematical analysis Mathematical methods in physics Mathematics Nonlinearity Other topics in mathematical methods in physics Partial differential equations Physics Quenching Sciences and techniques of general use Theorems Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Beschreibung
Zusammenfassung:	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.
ISSN:	0951-7715 1361-6544
DOI:	10.1088/0951-7715/24/3/005