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With Bmo Coefficients Of The Regularity Of Elliptic Equations In Logarithmic Space

Posted on:2013-07-12Degree:MasterType:Thesis
Country:ChinaCandidate:Z W WangFull Text:PDF
GTID:2240330395473518Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper,we will use the method of L.Wang and S.Byun in their papers to study the interior regularity of the solutions of the elliptic equations with small BMO coefficents in divergence form-div(A(x)▽u)=divf and non-divergence form aijuxixj=f in logarithmic spaceLp(LogL)a(Ω)(1<p<∞,a∈R),and then the corresponding estimates are also obtained in logarithmic space.
Keywords/Search Tags:Elliptic equations, Logarithmic space, Vitali covering lemma, Hardy-Littlewood maximal functions, Interior regularity
PDF Full Text Request
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