Email this article Discrete Pseudo-Differential Operators and Boundary Value Problems in a Half-Space and a Cone
- Authors: Vasilyev V.1
-
Affiliations:
- Chair of Differential Equations
- Issue: Vol 39, No 2 (2018)
- Pages: 289-296
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201740
- DOI: https://doi.org/10.1134/S1995080218020270
- ID: 201740
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Abstract
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.
About the authors
V. Vasilyev
Chair of Differential Equations
Author for correspondence.
Email: vbv57@inbox.ru
Russian Federation, Studencheskaya 14/1, Belgorod, 308007
