On a general discrete boundary value problem
Analysis of PDEs
2023-04-11 v1
Abstract
We study a general discrete boundary value problem in Sobolev--Slobodetskii spaces in a plane quadrant and reduce it to a system of integral equations. We show a solvability of the system for a small size of discreteness starting from a solvability of its continuous analogue.
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Cite
@article{arxiv.2304.03926,
title = {On a general discrete boundary value problem},
author = {Vladimir Vasilyev and Alexander Vasilyev and Anastasia Mashinets},
journal= {arXiv preprint arXiv:2304.03926},
year = {2023}
}
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15 pages