| Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. | |
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MedLine Citation:
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PMID: 20823259 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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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 some related Hardy-Poincaré inequalities and concludes a long series of papers devoted to generalized entropies, functional inequalities, and rates for nonlinear diffusion equations. |
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Authors:
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M Bonforte; J Dolbeault; G Grillo; J L Vázquez |
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Publication Detail:
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Type: Journal Article Date: 2010-09-07 |
Journal Detail:
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Title: Proceedings of the National Academy of Sciences of the United States of America Volume: 107 ISSN: 1091-6490 ISO Abbreviation: Proc. Natl. Acad. Sci. U.S.A. Publication Date: 2010 Sep |
Date Detail:
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Created Date: 2010-09-22 Completed Date: 2010-11-02 Revised Date: 2011-07-26 |
Medline Journal Info:
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Nlm Unique ID: 7505876 Medline TA: Proc Natl Acad Sci U S A Country: United States |
Other Details:
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Languages: eng Pagination: 16459-64 Citation Subset: - |
Affiliation:
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Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain. |
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