Irregular elliptic boundary-value problems and Hörmander spaces
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.