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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Published in | Nonlinearity Vol. 24; no. 3; pp. 797 - 832 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Bristol
IOP Publishing
01.03.2011
Institute of Physics |
Subjects | |
Online Access | Get full text |
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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. |
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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 |