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dc.contributor.advisorGoncharov, Alexander
dc.contributor.authorTürkün, Can
dc.date.accessioned2016-01-08T20:18:24Z
dc.date.available2016-01-08T20:18:24Z
dc.date.issued2014
dc.identifier.urihttp://hdl.handle.net/11693/18339
dc.descriptionAnkara : The Department of Mathematics and the Granduate School of Engineering and Science of Bilkent University, 2014.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2014.en_US
dc.descriptionIncludes bibliographical references leaves 58-59.en_US
dc.description.abstractBasic notions of potential theory are explained with illustrative examples. Many important properties, including the characteristic ones, of Green’s functions that are defined by the help of equilibrium measures are given. It is discussed that for what kind of sets they are continuous. Then, it is analyzed how good their continuity can be, how smooth they can be. Examples are given for the optimal smoothness. Besides, many other examples with diverse moduli of continuity are considered. Recent developments and articles in this field are introduced in details. Finally, an open problem about finding a Cantor type set K(γ) for preassigned smoothness of Green’s function is presented.en_US
dc.description.statementofresponsibilityTürkün, Canen_US
dc.format.extentvii, 59 leavesen_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGreen’s functionsen_US
dc.subjectSmoothnessen_US
dc.subject.lccQC174.17.G68 T87 2014en_US
dc.subject.lcshGreen functions.en_US
dc.subject.lcshSmoothness of functions.en_US
dc.titleSmoothness properties of Green's functionsen_US
dc.typeThesisen_US
dc.departmentDepartment of Mathematicsen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US
dc.identifier.itemidB148342
dc.embargo.release2016-09-08


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