Non-self-similar dead-core rate for the fast diffusion equation with dependent coefficient. (English) Zbl 1474.35411

Zhu, Liping; Zhang, Zhengce

Abstr. Appl. Anal. 2014, Article ID 927631, 5 p. (2014).

Summary: We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and show that the temporal dead-core rate is non-self-similar. The proof is based on the standard compactness arguments with the uniqueness of the self-similar solutions and the precise estimates on the single-point final dead-core profile.

MSC:

35K59	Quasilinear parabolic equations
35A02	Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
35B44	Blow-up in context of PDEs
35C06	Self-similar solutions to PDEs

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