Open AccessOn Discrete Solutions for Elliptic Pseudo-Differential Equations
Author(s) -
Oksana A. Tarasova,
Alexander Vasilyev,
Vladimir Vasilyev,
Ooo “Severgrup”
Publication year - 2021
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2021m3/117-123
Subject(s) - mathematics , boundary value problem , elliptic boundary value problem , mathematical analysis , free boundary problem , sobolev space , dirichlet boundary condition , mixed boundary condition , differential equation , elliptic partial differential equation , dirichlet problem , robin boundary condition , poincaré–steklov operator
We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev–Slobodetskii spaces. Based on the theory of discrete boundary value problems for elliptic pseudo-differential equations we give a comparison between discrete and continuous solutions for certain model boundary value problem.