Analysis of functional-differential equation with orthotropic contractions

In the elasticity theory, plasma theory, and the theory of multidimensional diffusion processes, some phenomena can be described by boundary value problems for elliptic functional differential equations that associate boundary points with inner points. This nonlocal effect leads to the appearance of singularities inside the domain. The paper is devoted to an elliptic partial differential equation containing contracted and expanded arguments of the higher derivatives of the unknown function. A priori estimates of generalized solutions are obtained in weighted spaces. © 2017 EDP Sciences.

Авторы
Редакторы
-
Издательство
EDP Sciences
Номер выпуска
6
Язык
Английский
Страницы
240-248
Статус
Опубликовано
Подразделение
-
Номер
-
Том
12
Год
2017
Организации
  • 1 Peoples' Friendship University of Russia, Moscow, Russian Federation
  • 2 Dorodnicyn Computing Center, FRC, CSC, RAS, Moscow, Russian Federation
Ключевые слова
Contraction operator; Functional-differential equations; Weighted spaces
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6165/