On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 Italy English Publisher:Hindawi LimitedJournal:Journal of Function Spaces and Applications, volume 2,012, pages 1-16 (issn: 0972-6802, eissn: 1758-4965,

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Authors: Teresa Alberico;

doi: 10.1155/2012/208741

On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients

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Abstract

We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994). We consider elliptic equations with coefficients which are measurable with respect to one variable and VMO with respect to the other.

Country

Italy

Related Organizations

National Institute for Nuclear Physics
Italy
University Federico II of Naples
Italy

Keywords

adjoint equations, VMO coefficients, Boundary value problems for second-order elliptic equations, Smoothness and regularity of solutions to PDEs, QA1-939, elliptic equations, Mathematics

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