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Inhomogeneous boundary value problem for a second-order singular elliptic equation in a plane sector

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Abstract

We consider an inhomogeneous boundary value problem in a plane sector for a model second-order singular elliptic equation. We prove the well-posed solvability of the problem in weighted function spaces of special form.

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Authors and Affiliations

  1. Voronezh State University of Architecture and Civil Engineering, Voronezh, Russia

    A. A. Larin

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  1. A. A. Larin
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Original Russian Text © A.A. Larin, 2012, published in Differentsial’nye Uravneniya, 2012, vol. 48, no. 2, pp. 217–226.

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Larin, A.A. Inhomogeneous boundary value problem for a second-order singular elliptic equation in a plane sector. Diff Equat 48, 224–233 (2012). https://doi.org/10.1134/S0012266112020061

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  • DOI: https://doi.org/10.1134/S0012266112020061

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