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On the behavior of solutions for a semilinear parabolic equation with supercritical nonlinearity

โœ Scribed by Noriko Mizoguchi


Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
153 KB
Volume
239
Category
Article
ISSN
0025-5874

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Convergence rate for a semilinear parabo
โœ Masaki Hoshino ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 943 KB

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