2019
Том 71
№ 11

All Issues

Irregular elliptic boundary-value problems and Hörmander spaces

Anop A. V., Kasirenko T. M., Murach A. A.


Abstract

We study nonregular elliptic problems with boundary conditions of higher orders and prove that these problems are Fredholm on appropriate pairs of the inner-product H¨ormander spaces that form a two-sided refined Sobolev scale. We prove a theorem on the regularity of generalized solutions to the problems in these spaces.

Citation Example: Anop A. V., Kasirenko T. M., Murach A. A. Irregular elliptic boundary-value problems and Hörmander spaces // Ukr. Mat. Zh. - 2018. - 70, № 3. - pp. 299-317.