Fast diffusion to self-similarity: Complete spectrum, long-time asymptotics, and numerology
type: Item
instance of: scholarly article
title: Fast diffusion to self-similarity: Complete spectrum, long-time asymptotics, and numerology
zbMATH Open document ID: 1083.35074
author: Jochen Denzler
author: Robert J. McCann
published in: Archive for Rational Mechanics and Analysis
publication date: 2005-04-14T00:00:00Z
review text: The paper deals with the fast diffusion equation in the supercritical regime. The complete spectrum of the linearized problem is found, thus giving the sharp rates of asymptotic convergence to the Barenblatt profile. This bound improves some results in the literature, and suggests the conjecture that the self-similar function in mind is always the slowest to converge. It is also suggested how the rate of convergence can be improved.
reviewed by: Pavel Burda
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 76R50
zbMATH DE Number: 2155995
zbMATH Keywords: fast diffusion equation
zbMATH Keywords: Barenblatt profile
zbMATH Keywords: rate of convergence
MaRDI profile type: Publication
full work available at URL: s00205-004-0336-3
OpenAlex ID: W2132999841
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DOI: 10.1007/S00205-004-0336-3
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description: scientific article; zbMATH DE number 2155995