Nonregular elliptic boundary-value problems and H\"ormander spaces
Analysis of PDEs
2020-07-28 v1
Abstract
We investigate nonregular elliptic problems with boundary conditions of higher orders. We prove that these problems are Fredholm on appropriate pairs of inner product H\"ormander spaces that form a two-sided refined Sobolev scale. We also prove a theorem on the regularity of generalized solutions to the problems in these spaces.
Keywords
Cite
@article{arxiv.1803.03992,
title = {Nonregular elliptic boundary-value problems and H\"ormander spaces},
author = {Anna Anop and Tetiana Kasirenko and Aleksandr Murach},
journal= {arXiv preprint arXiv:1803.03992},
year = {2020}
}
Comments
20 pages, in Ukrainian