Non‐Self‐Similar Dead‐Core Rate for the Fast Diffusion Equation with Dependent Coefficient

Liping Zhu and Zhengce Zhang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/927631

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:927631

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