Convergence Rate for a Parabolic Equation with Supercritical Nonlinearity
โ Scribed by Marek Fila; Michael Winkler; Eiji Yanagida
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 150 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1040-7294
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๐ SIMILAR VOLUMES
We study the behavior of solutions of the Cauchy problem for a semilinear parabolic equation with a singular power nonlinearity. It is known for a supercritical heat equation that if two solutions are initially close enough near the spatial infinity, then these solutions approach each other. In fact
We study solutions to the Cauchy problem for a semilinear parabolic equation with a nonlinearity which is critical in the sense of Joseph and Lundgren and establish the rate of convergence to regular steady states. In the critical case, this rate contains a logarithmic term which does not appear in