Title of article
Second-order elliptic equations with variably partially VMO coefficients
Author/Authors
N.V. Krylov، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
18
From page
1695
To page
1712
Abstract
The solvability in W2
p(Rd ) spaces is proved for second-order elliptic equations with coefficients which
are measurable in one direction and VMO in the orthogonal directions in each small ball with the direction
depending on the ball. This generalizes to a very large extent the case of equations with continuous or VMO
coefficients.
© 2009 Elsevier Inc. All rights reserved.
Keywords
Second-order elliptic equations , Vanishing mean oscillation , Partially VMO coefficients , Sobolev spaces
Journal title
Journal of Functional Analysis
Serial Year
2009
Journal title
Journal of Functional Analysis
Record number
839980
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