A Simplified Proof of a Liouville Theorem for Nonnegative Solution of a Subcritical Semilinear Heat Equations
We give a new proof of the Liouville theorem proved by Merle and Zaag for nonnegative solutions of the semilinear heat equation with power nonlinearity. Our proof has a pedagogical interest and is based on Kaplan’s blow-up criterion.
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Published in | Journal of dynamics and differential equations Vol. 21; no. 1; pp. 127 - 132 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Boston
Springer US
01.03.2009
Springer Verlag |
Subjects | |
Online Access | Get full text |
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Summary: | We give a new proof of the Liouville theorem proved by Merle and Zaag for nonnegative solutions of the semilinear heat equation with power nonlinearity. Our proof has a pedagogical interest and is based on Kaplan’s blow-up criterion. |
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ISSN: | 1040-7294 1572-9222 |
DOI: | 10.1007/s10884-008-9121-6 |