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.
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Translated by I. Ruzanova
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Vasilyev, V.B. On Some Elliptic Boundary Value Problems in Conic Domains. Comput. Math. and Math. Phys. 63, 1437–1443 (2023). https://doi.org/10.1134/S096554252308016X
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DOI: https://doi.org/10.1134/S096554252308016X