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Second-order elliptic equations with variably partially VMO coefficients

162   0   0.0 ( 0 )
 نشر من قبل Nicolai Krylov
 تاريخ النشر 2008
  مجال البحث
والبحث باللغة English
 تأليف N.V. Krylov




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The solvability in $W^{2}_{p}(bR^{d})$ 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.



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