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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive
Proceedings of the YSU, Physical and Mathematical Sciences, 2020 Volume 54, Issue 1, Pages 29–34 (Mi uzeru700)
Mathematics

On solvability of some boundary problem

A. G. Kamalian, M. I. Karakhanyan

Yerevan State University

Abstract: We constract the exact solution of the Dirichlet problem in the Sobolev space for two-dimensional elliptic equation considered on the half-plane.

Keywords: Sobolev spaces, trace of function, Dirichlet problem.

UDC: 35J25

Received: 13.11.2019
Revised: 06.02.2020
Accepted: 30.03.2020

Language: English


© Steklov Math. Inst. of RAS, 2025