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dc.contributor.authorYeh, Li-Mingen_US
dc.date.accessioned2016-03-28T00:04:13Z-
dc.date.available2016-03-28T00:04:13Z-
dc.date.issued2015-09-01en_US
dc.identifier.issn1534-0392en_US
dc.identifier.urihttp://dx.doi.org/10.3934/cpaa.2015.14.1961en_US
dc.identifier.urihttp://hdl.handle.net/11536/129433-
dc.description.abstractPointwise estimate for the solutions of elliptic equations in periodic perforated domains is concerned. Let epsilon denote the size ratio of the period of a periodic perforated domain to the whole domain. It is known that even if the given functions of the elliptic equations are bounded uniformly in epsilon, the C-1,C- alpha norm and the W-2,W- p norm of the elliptic solutions may not be bounded uniformly in epsilon. It is also known that when epsilon closes to 0, the elliptic solutions in the periodic perforated domains approach a solution of some homogenized elliptic equation. In this work, the Holder uniform bound in epsilon and the Lipschitz uniform bound in epsilon for the elliptic solutions in perforated domains are proved. The L-infinity and the Lipschitz convergence estimates for the difference between the elliptic solutions in the perforated domains and the solution of the homogenized elliptic equation are derived.en_US
dc.language.isoen_USen_US
dc.subjectPeriodic perforated domainsen_US
dc.subjecthomogenized elliptic equationen_US
dc.subjecttwo-phase mediaen_US
dc.titlePOINTWISE ESTIMATE FOR ELLIPTIC EQUATIONS IN PERIODIC PERFORATED DOMAINSen_US
dc.typeArticleen_US
dc.identifier.doi10.3934/cpaa.2015.14.1961en_US
dc.identifier.journalCOMMUNICATIONS ON PURE AND APPLIED ANALYSISen_US
dc.citation.volume14en_US
dc.citation.spage1961en_US
dc.citation.epage1986en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000365023300019en_US
dc.citation.woscount0en_US
Appears in Collections:Articles