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dc.contributor.authorWang, Shiah-Senen_US
dc.contributor.authorYeh, Li-Mingen_US
dc.date.accessioned2017-04-21T06:56:27Z-
dc.date.available2017-04-21T06:56:27Z-
dc.date.issued2017-01en_US
dc.identifier.issn0362-546Xen_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.na.2016.09.009en_US
dc.identifier.urihttp://hdl.handle.net/11536/132737-
dc.description.abstractUniform regularity for second order elliptic equations in a highly heterogeneous random medium is concerned. The medium is separated by a random ensemble of simply closed interfaces into a connected sub-region with high conductivity and a disconnected subset with low conductivity. The elliptic equations, whose diffusion coefficients depend on the conductivity, have fast diffusion in the connected sub-region and slow diffusion in the disconnected subset. Without a stationary-ergodic assumption, a uniform Holder estimate in omega, epsilon, lambda for the elliptic solutions is derived, where w is a realization of the random ensemble, epsilon is an element of (0,1] is the length scale of the interfaces, and lambda(2) is an element of (0,1] is the conductivity ratio of the disconnected subset to the connected sub-region. Results show that if external sources are small enough in the disconnected subset, the uniform Holder estimate in omega, is an element of, lambda holds in the whole domain. If not, it holds only in the connected sub-region. Meanwhile, the elliptic solutions change rapidly in the disconnected subset. (C) 2016 Elsevier Ltd. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectRandom mediaen_US
dc.subjectConductivityen_US
dc.subjectStationary-ergodicen_US
dc.subjectRealizationen_US
dc.subjectDiffeomorphismen_US
dc.titleA Holder estimate for non-uniform elliptic equations in a random mediumen_US
dc.identifier.doi10.1016/j.na.2016.09.009en_US
dc.identifier.journalNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONSen_US
dc.citation.volume148en_US
dc.citation.spage61en_US
dc.citation.epage87en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000389093500003en_US
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