Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/36379
DC FieldValueLanguage
dc.contributor.authorGuo, J.S.en_US
dc.contributor.author吳菁菁zh_TW
dc.contributor.authorMatano, H.en_US
dc.contributor.authorWu, C.C.en_US
dc.date2010zh_TW
dc.date.accessioned2014-06-06T07:55:22Z-
dc.date.available2014-06-06T07:55:22Z-
dc.identifier.issn1424-3199zh_TW
dc.identifier.urihttp://hdl.handle.net/11455/36379-
dc.description.abstractWe consider the dead-core problem for the semilinear heat equation with strong absorption and with positive boundary values in a ball. We investigate the dead-core rate, i.e. the rate at which the solution reaches its first zero. We first show, as in the one-dimensional case, that the dead-core rate is always faster than the self-similar rate. By using some special solutions and the braid group theory, we then derive the exact dead-core rates for a large class of initial data.en_US
dc.language.isoen_USzh_TW
dc.relationJournal of Evolution Equationsen_US
dc.relation.ispartofseriesJournal of Evolution Equations, Volume 10, Issue 4, Page(s) 835-855.en_US
dc.relation.urihttp://dx.doi.org/10.1007/s00028-010-0072-0en_US
dc.subjectsemilinear heat-equationsen_US
dc.subjectblow-upen_US
dc.subjectstrong absorptionen_US
dc.subjectpositiveen_US
dc.subjectsolutionsen_US
dc.subjectii blowupen_US
dc.subjectdynamicsen_US
dc.titleAn application of braid group theory to the finite time dead-core rateen_US
dc.typeJournal Articlezh_TW
dc.identifier.doi10.1007/s00028-010-0072-0zh_TW
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en_US-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairetypeJournal Article-
item.fulltextno fulltext-
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