Email this article On Some Elliptic Boundary Value Problems in Conic Domains
- Authors: Vasilyev V.B.1
-
Affiliations:
- Belgorod National Research University
- Issue: Vol 63, No 8 (2023)
- Pages: 1309-1315
- Section: УРАВНЕНИЯ В ЧАСТНЫХ ПРОИЗВОДНЫХ
- URL: https://journals.rcsi.science/0044-4669/article/view/136196
- DOI: https://doi.org/10.31857/S0044466923080161
- EDN: https://elibrary.ru/WTRDTP
- ID: 136196
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Abstract
A model elliptic pseudodifferential equation in a polyhedral cone is considered, and the situation when some of the parameters of the cone tend to their limiting values is investigated. In Sobolev–Slobodetskii spaces, a solution of the equation in the cone is constructed in the case of a special wave factorization of the elliptic symbol. It is shown that a limit solution of the boundary value problem with an additional integral condition can exist only under additional constraints on the boundary function.
About the authors
V. B. Vasilyev
Belgorod National Research University
Author for correspondence.
Email: vbv57@inbox.ru
308015, Belgorod, Russia
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