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arXiv:1803.03992 [math.AP]AbstractReferencesReviewsResources

Nonregular elliptic boundary-value problems and Hörmander spaces

Anna Anop, Tetiana Kasirenko, Aleksandr Murach

Published 2018-03-11Version 1

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.

Comments: 20 pages, in Ukrainian
Categories: math.AP
Subjects: 35J40, 46E35
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