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The convergence rate for a semilinear parabolic equation with a critical exponent

โœ Scribed by Christian Stinner

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
229 KB
Volume
24
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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 the supercritical case.

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