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dc.contributor.authorYeh, Li-Mingen_US
dc.date.accessioned2014-12-08T15:22:15Z-
dc.date.available2014-12-08T15:22:15Z-
dc.date.issued2012-06-01en_US
dc.identifier.issn0362-546Xen_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.na.2012.01.027en_US
dc.identifier.urihttp://hdl.handle.net/11536/15754-
dc.description.abstractUniform bound for the solutions of non-uniform parabolic equations in highly heterogeneous media is concerned. The media considered are periodic and they consist of a connected high permeability sub-region and a disconnected matrix block subset with low permeability. Parabolic equations with diffusion depending on the permeability of the media have fast diffusion in the high permeability sub-region and slow diffusion in the low permeability subset, and they form non-uniform parabolic equations. Each medium is associated with a positive number is an element of, denoting the size ratio of matrix blocks to the whole domain of the medium. Let the permeability ratio of the matrix block subset to the connected high permeability sub-region be of the order is an element of(2 tau) for tau is an element of (0, 1]. It is proved that the Holder norm of the solutions of the above non-uniform parabolic equations in the connected high permeability sub-region are bounded uniformly in.. One example also shows that the Holder norm of the solutions in the disconnected subset may not be bounded uniformly in is an element of. (C) 2012 Elsevier Ltd. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectHighly heterogeneous mediaen_US
dc.subjectPseudo-differential operatoren_US
dc.subjectParamatrixen_US
dc.subjectStrict solutionen_US
dc.subjectInfinitesimal generatoren_US
dc.subjectNumerical rangeen_US
dc.titleHolder estimate for non-uniform parabolic equations in highly heterogeneous mediaen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.na.2012.01.027en_US
dc.identifier.journalNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONSen_US
dc.citation.volume75en_US
dc.citation.issue9en_US
dc.citation.spage3723en_US
dc.citation.epage3745en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000302128900002-
dc.citation.woscount1-
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