On a certain property of a regular difference operator with variable coefficients

We consider a regular difference operator with variable coefficients in a bounded domain. It will be proved that this operator maps continuously and bijectively the Sobolev space of order k with the homogeneous Dirichlet boundary conditions to the subspace of Sobolev space of order k with nonlocal boundary conditions on the shifts of the boundary. This allows to apply the results obtained for nonlocal elliptic problems to the investigation of elliptic differential-difference equations. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
5
Язык
Английский
Страницы
852-865
Статус
Опубликовано
Подразделение
-
Номер
-
Том
64
Год
2019
Организации
  • 1 Peoples' Friendship University of Russia (RUDN-University), Moscow, Russian Federation
Ключевые слова
39A14; 39A70; A. Soldatov; difference operators; Elliptic differential-difference equations; generalized solutions; nonlocal elliptic problems
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/38644/