hal-00701234, version 1
A simplified proof of a Liouville theorem for nonnegative solution of a subcritical semilinear heat equations
Journal of Dynamics and Differential Equations 21, 1 (2009) 127-132
Abstract: 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.
- 1:
- CNRS : UMR8553 – Ecole normale supérieure de Paris - ENS Paris
- Domain : Mathematics/Analysis of PDEs
- Keywords : Heat equation – Liouville theorem – Blow-up – Kaplan's criterion
- hal-00701234, version 1
- http://hal.archives-ouvertes.fr/hal-00701234
- oai:hal.archives-ouvertes.fr:hal-00701234
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- Submitted on: Thursday, 24 May 2012 20:52:17
- Updated on: Thursday, 24 May 2012 21:42:19
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