Discrete Pseudo-Differential Operators and Boundary Value Problems in a Half-Space and a Cone
- Autores: Vasilyev V.1
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Afiliações:
- Chair of Differential Equations
- Edição: Volume 39, Nº 2 (2018)
- Páginas: 289-296
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201740
- DOI: https://doi.org/10.1134/S1995080218020270
- ID: 201740
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Resumo
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.
Sobre autores
V. Vasilyev
Chair of Differential Equations
Autor responsável pela correspondência
Email: vbv57@inbox.ru
Rússia, Studencheskaya 14/1, Belgorod, 308007