DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chung, Jay-Wan | ko |
dc.contributor.author | Kim, Yong-Jung | ko |
dc.date.accessioned | 2013-03-09T11:51:56Z | - |
dc.date.available | 2013-03-09T11:51:56Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v.43, no.4, pp.1975 - 1994 | - |
dc.identifier.issn | 0036-1410 | - |
dc.identifier.uri | http://hdl.handle.net/10203/96277 | - |
dc.description.abstract | The Newtonian potential is introduced in a relative sense for radial functions. In this way one may treat the potential theory for a larger class of functions in a unified manner for all dimensions d >= 1. As a result, Newton's theorem is revised in terms of relative potentials, which is a simpler argument that works for all dimensions d >= 1. This relative potential is then used to obtain the L(1)-convergence order O(t(-1)) as t -> infinity for radially symmetric solutions to the porous medium and fast diffusion equations. The technique is also applied to radial solutions of the p-Laplacian equations to obtain the same convergence order. | - |
dc.language | English | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.subject | POROUS-MEDIUM EQUATION | - |
dc.subject | SELF-SIMILARITY | - |
dc.subject | P-LAPLACIAN | - |
dc.subject | BEHAVIOR | - |
dc.subject | CONCAVITY | - |
dc.subject | CONVEXITY | - |
dc.subject | FLOWS | - |
dc.subject | RATES | - |
dc.title | RELATIVE NEWTONIAN POTENTIALS OF RADIAL FUNCTIONS AND ASYMPTOTICS IN NONLINEAR DIFFUSION | - |
dc.type | Article | - |
dc.identifier.wosid | 000294289500018 | - |
dc.identifier.scopusid | 2-s2.0-80052715570 | - |
dc.type.rims | ART | - |
dc.citation.volume | 43 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 1975 | - |
dc.citation.endingpage | 1994 | - |
dc.citation.publicationname | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Kim, Yong-Jung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Newtonian potential | - |
dc.subject.keywordAuthor | nonlinear diffusion | - |
dc.subject.keywordAuthor | asymptotic convergence order | - |
dc.subject.keywordPlus | POROUS-MEDIUM EQUATION | - |
dc.subject.keywordPlus | SELF-SIMILARITY | - |
dc.subject.keywordPlus | P-LAPLACIAN | - |
dc.subject.keywordPlus | BEHAVIOR | - |
dc.subject.keywordPlus | CONCAVITY | - |
dc.subject.keywordPlus | CONVEXITY | - |
dc.subject.keywordPlus | FLOWS | - |
dc.subject.keywordPlus | RATES | - |
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