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

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  • Liping Zhu
  • Zhengce Zhang

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.

Suggested Citation

  • Liping Zhu & Zhengce Zhang, 2014. "Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, June.
    • Handle: RePEc:hin:jnlaaa:927631
    DOI: 10.1155/2014/927631
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