Elliptic Differential-Difference Equations in the Half-Space

Abstract: The Dirichlet problem in the half-space for elliptic differential-difference equations with operators that are compositions of differential and difference operators is considered. For this problem, classical solvability or solvability almost everywhere (depending on the constraints imposed on the boundary data) is proved, an integral representation of the found solution in terms of a Poisson-type formula is constructed, and its convergence to zero as the time-like independent variable tends to infinity is proved. © 2020, Pleiades Publishing, Ltd.

Авторы
Журнал
Номер выпуска
5-6
Язык
Английский
Страницы
727-732
Статус
Опубликовано
Том
108
Год
2020
Организации
  • 1 JSC Concern “Sozvezdie”, Voronezh, 394018, Russian Federation
  • 2 Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Ключевые слова
differential-difference equations; elliptic problems
Дата создания
20.04.2021
Дата изменения
20.04.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/72588/
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