Regular elliptic boundary-value problem in a two-sided refined scale of spaces
Analysis of PDEs
2009-03-30 v1
Abstract
A regular elliptic boundary-value problem over a bounded domain with a smooth boundary is studied. We prove that the operator of this problem is a Fredholm one in the two-sided refined scale of the functional Hilbert spaces and generates a complete collection of isomorphisms. Elements of this scale are the isotropic spaces of Hormander-Volevich-Paneah and some its modifications. A priori estimate for the solution is established and its regularity is investigated.
Cite
@article{arxiv.0712.1581,
title = {Regular elliptic boundary-value problem in a two-sided refined scale of spaces},
author = {Vladimir A. Mikhailets and Aleksandr A. Murach},
journal= {arXiv preprint arXiv:0712.1581},
year = {2009}
}
Comments
In Russian Abstract in English