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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 2, Pages 367–376
DOI: https://doi.org/10.33048/smzh.2020.61.211 (Mi smj5988) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On connection between solutions in different weighted spaces to one singular elliptic boundary value problem

A. A. Larin

Russian Air Force Military Educational and Scientific Center of the "N. E. Zhukovskiy and Yu. A. Gagarin Air Force Academy", Voronezh
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DOI: https://doi.org/10.33048/smzh.2020.61.211
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 $\partial^{2} /\partial y^{2} +k \partial /(y \partial y)$, $k>0$, 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.
Keywords: singularity, boundary value problem, angular point, weighted space.
Received: 28.08.2019
Revised: 04.10.2019
Accepted: 18.10.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 2, Pages 290–297
DOI: https://doi.org/10.1134/S0037446620020111
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35R30
Language: Russian
Citation: A. A. Larin, “On connection between solutions in different weighted spaces to one singular elliptic boundary value problem”, Sibirsk. Mat. Zh., 61:2 (2020), 367–376; Siberian Math. J., 61:2 (2020), 290–297
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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