The factorization technique for difference equations
Analysis of PDEs
2015-11-11 v1 Classical Analysis and ODEs
Complex Variables
Functional Analysis
Abstract
We study multidimensional difference equations with a continual variable in the Sobolev--Slobodetskii spaces. Using ideas and methods of the theory of boundary value problems for elliptic pseudo differential equations we suggest to consider certain boundary value problems for such difference equations. Special boundary conditions permit to prove unique solvability for these boundary value problems in appropriate Sobolev--Slobodetskii spaces.
Keywords
Cite
@article{arxiv.1511.02987,
title = {The factorization technique for difference equations},
author = {Alexander Vasilyev and Vladimir Vasilyev},
journal= {arXiv preprint arXiv:1511.02987},
year = {2015}
}
Comments
11 pages