Smoothness of solutions to the mixed problem for elliptic differential-difference equation in cylinder

This article deals with mixed boundary value problem for an elliptic differential-difference equation in a cylinder. There are obtained results on the smoothness of generalized solutions of such problem in subdomains, and necessary and sufficient conditions for the preservation of smoothness on the boundaries of neighboring subdomains. © 2020 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Liiko V.V. 1, 2 , Skubachevskii A.L. 1, 2
Journal
Complex Variables and Elliptic Equations
Language
English
Status
Published
Link
External link
DOI
10.1080/17476933.2020.1833871
Year
2020
Organizations
  • 1 Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 2 Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation
Keywords
39A14; 39A70; difference operator; Elliptic differential-difference equation; generalized solution; mixed boundary value problem
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72884/
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