Strong solvability in Sobolev spaces W-2,W-p(Omega) is proved for the regular oblique derivative problem for second order uniformly elliptic operators with VMO-principal coefficients. The results are applied to the study of degenerate (tangential) oblique derivative problem in the case of neutral vector field on the boundary.

Oblique derivative problem for uniformly elliptic operators with VMO coefficients and applications

Palagachev, DK;
1998

Abstract

Strong solvability in Sobolev spaces W-2,W-p(Omega) is proved for the regular oblique derivative problem for second order uniformly elliptic operators with VMO-principal coefficients. The results are applied to the study of degenerate (tangential) oblique derivative problem in the case of neutral vector field on the boundary.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/11774
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