Title of article
Regularity of very weak solutions for elliptic equation of divergence form
Author/Authors
Wei Zhang، نويسنده , , Jiguang Bao، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
12
From page
1867
To page
1878
Abstract
In this paper, we study the local regularity of very weak solution u ∈ L1
loc(Ω) of the elliptic equation
Dj (aij (x)Diu) = 0. Using the bootstrap argument and the difference quotient method, we obtain that if
aij ∈ C
0,1
loc (Ω), then u ∈W
2,p
loc (Ω) for any p <∞.
© 2011 Elsevier Inc. All rights reserved.
Keywords
Regularity , Linear elliptic equation , Sobolev space , Very weak solution
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840664
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