On some solvability theorems for pseudo-differential equations
Analysis of PDEs
2023-02-21 v1 Functional Analysis
Abstract
We study a model elliptic pseudo-differential equation and simplest boundary value problems for a half-space and a special cone in Sobolev--Slobodetskii spaces which have different smoothness with respect to separate variables. Sufficient conditions for a unique solvability for such boundary value problems are described.
Keywords
Cite
@article{arxiv.2302.10054,
title = {On some solvability theorems for pseudo-differential equations},
author = {Vladimir Vasilyev and Victor Polunin and Igor Shmal},
journal= {arXiv preprint arXiv:2302.10054},
year = {2023}
}
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14 pages