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arXiv · 2302.14304

On discrete boundary value problems with nonlocal conditions in a quarter-plane

Vladimir Vasilyev·Anastasia Mashinets
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Abstract

We consider discrete analogue of model pseudo-differential equations in discrete plane sector using discrete variant of Sobolev--Slobodetskii spaces. Starting from the concept of wave factorization for elliptic periodic symbol we describe solvability conditions for the equations and corresponding discrete boundary value problems. We give also a comparison between discrete and continuous solutions in appropriate discrete normed spaces.

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Vladimir Vasilyev, Anastasia Mashinets. 2023-02-28. On discrete boundary value problems with nonlocal conditions in a quarter-plane. https://arxiv.org/abs/2302.14304

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