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.
Liping Zhu. Zhengce Zhang. "Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient." Abstr. Appl. Anal. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/927631