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On Connection between Solutions in Different Weighted Spaces to One Singular Elliptic Boundary Value Problem

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Abstract

We study the properties of solutions in special weighted spaces to a nonhomogeneous boundary value problem in a planar angle for a singular elliptic equation of the second order with the differential Bessel operator ∂2/∂y2 + k∂/(y∂y), k > 0, one of the variables. Under some constraints on the weight exponents, the boundary value problem is correctly solvable. We establish a relation connecting the solutions of the problem belonging to the function spaces with different weights.

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Authors and Affiliations

  1. Military Educational Scientific Center of the Air Force Zhukovsky and Gagarin Air Force Academy of the Ministry of Defence of the Russian Federation, Voronezh, Russia

    A. A. Larin

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  1. A. A. Larin
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Correspondence to A. A. Larin.

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Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 2, pp. 367–376.

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Larin, A.A. On Connection between Solutions in Different Weighted Spaces to One Singular Elliptic Boundary Value Problem. Sib Math J 61, 290–297 (2020). https://doi.org/10.1134/S0037446620020111

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  • DOI: https://doi.org/10.1134/S0037446620020111

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