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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Bibliographic Details
Published inNonlinearity Vol. 24; no. 3; pp. 797 - 832
Main Author Nouaili, Nejla
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.03.2011
Institute of Physics
Subjects
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
Absorption
Semi linear equation
Heat equation
Liouville theorem
Nonlinear analysis
Liouville equation
Mathematical physics
Quenching
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0951-7715
1361-6544
DOI:10.1088/0951-7715/24/3/005