DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong Jung | ko |
dc.contributor.author | McCann, RJ | ko |
dc.date.accessioned | 2013-03-07T18:08:46Z | - |
dc.date.available | 2013-03-07T18:08:46Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2006-07 | - |
dc.identifier.citation | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.86, no.1, pp.42 - 67 | - |
dc.identifier.issn | 0021-7824 | - |
dc.identifier.uri | http://hdl.handle.net/10203/90870 | - |
dc.description.abstract | A potential theoretic comparison technique is developed, which yields the conjectured optimal rate of convergence as t --> infinity for solutions of the fast diffusion equation u(t) = Delta(u(m)), (n - 2)(+)/n < m <= n/(n + 2), u, t >= 0, x is an element of R-n, n >= 1, to a spreading self-similar profile, starting from integrable initial data with sufficiently small tails. This 1/t rate is achieved uniformly in relative error, and in weaker norms such as L-1 (R-n). The range of permissible nonlinearities extends upwards towards m = 1 if the initial data shares enough of its moments with a specific self-similar profile. For example, in one space dimension, n = 1, the 1/t rate extends to the full range m is an element of]0, 1 [ of nonlinearities provided the data is correctly centered. (C) 2006 Elsevier SAS. All rights reserved. | - |
dc.language | English | - |
dc.publisher | GAUTHIER-VILLARS/EDITIONS ELSEVIER | - |
dc.subject | POROUS-MEDIUM EQUATION | - |
dc.subject | SCALAR CONSERVATION-LAWS | - |
dc.subject | C-INFINITY-REGULARITY | - |
dc.subject | ASYMPTOTIC-BEHAVIOR | - |
dc.subject | SELF-SIMILARITY | - |
dc.subject | EVOLUTION-EQUATIONS | - |
dc.subject | SINGULAR DIFFUSION | - |
dc.subject | WEAK SOLUTIONS | - |
dc.subject | CAUCHY-PROBLEM | - |
dc.subject | GAS | - |
dc.title | Potential theory and optimal convergence rates in fast nonlinear diffusion | - |
dc.type | Article | - |
dc.identifier.wosid | 000239296200002 | - |
dc.identifier.scopusid | 2-s2.0-33745714343 | - |
dc.type.rims | ART | - |
dc.citation.volume | 86 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 42 | - |
dc.citation.endingpage | 67 | - |
dc.citation.publicationname | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | - |
dc.identifier.doi | 10.1016/j.matpur.2006.01.002 | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.contributor.nonIdAuthor | McCann, RJ | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | fast nonlinear diffusion | - |
dc.subject.keywordAuthor | large time convergence rate | - |
dc.subject.keywordAuthor | Newtonian potential | - |
dc.subject.keywordAuthor | moments | - |
dc.subject.keywordPlus | POROUS-MEDIUM EQUATION | - |
dc.subject.keywordPlus | SCALAR CONSERVATION-LAWS | - |
dc.subject.keywordPlus | C-INFINITY-REGULARITY | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | SELF-SIMILARITY | - |
dc.subject.keywordPlus | EVOLUTION-EQUATIONS | - |
dc.subject.keywordPlus | SINGULAR DIFFUSION | - |
dc.subject.keywordPlus | WEAK SOLUTIONS | - |
dc.subject.keywordPlus | CAUCHY-PROBLEM | - |
dc.subject.keywordPlus | GAS | - |
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