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Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities

The goal of this paper is to state the optimal decay rate for solutions of the nonlinear fast diffusion equation and, in self-similar variables, the optimal convergence rates to Barenblatt self-similar profiles and their generalizations. It relies on the identification of the optimal constants in so...

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Detalhes bibliográficos
Main Authors: Bonforte, M., Dolbeault, J., Grillo, G., Vázquez, J. L.
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2010
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC2944723/
https://ncbi.nlm.nih.gov/pubmed/20823259
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1003972107
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