Discrete Pseudo-Differential Operators and Boundary Value Problems in a Half-Space and a Cone
- Авторлар: Vasilyev V.1
-
Мекемелер:
- Chair of Differential Equations
- Шығарылым: Том 39, № 2 (2018)
- Беттер: 289-296
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201740
- DOI: https://doi.org/10.1134/S1995080218020270
- ID: 201740
Дәйексөз келтіру
Аннотация
We consider a certain class of discrete pseudo-differential operators and related equations in a sharp convex cone and describe their invertibility conditions in L2 spaces. For this purpose we introduce a concept of periodic wave factorization for elliptic symbol and show its applicability for the studying. For a half-space case we consider the Laplace equation and describe a solution of the discrete Dirichlet problem.
Авторлар туралы
V. Vasilyev
Chair of Differential Equations
Хат алмасуға жауапты Автор.
Email: vbv57@inbox.ru
Ресей, Studencheskaya 14/1, Belgorod, 308007