On Some Elliptic Boundary Value Problems in Conic Domains

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详细

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.

作者简介

V. Vasilyev

Belgorod National Research University

编辑信件的主要联系方式.
Email: vbv57@inbox.ru
308015, Belgorod, Russia

参考

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