Abstract
We study some discrete boundary value problems for discrete elliptic pseudo-differential equations in a half-space. These statements are related with a special periodic factorization of an elliptic symbol and a number of boundary conditions depends on an index of periodic factorization. This approach was earlier used by authors for studying special types of discrete convolution equations. Here we consider more general equations and functional spaces.
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Vasilyev, A.V., Vasilyev, V.B. & Tarasova, O.A. Discrete Boundary Value Problems as Approximate Constructions. Lobachevskii J Math 43, 1446–1457 (2022). https://doi.org/10.1134/S1995080222090281
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DOI: https://doi.org/10.1134/S1995080222090281