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arXiv · 1803.03992

Nonregular elliptic boundary-value problems and H\"ormander spaces

Anna Anop·Tetiana Kasirenko·Aleksandr Murach
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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.

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Anna Anop, Tetiana Kasirenko, Aleksandr Murach. 2018-03-11. Nonregular elliptic boundary-value problems and H\"ormander spaces. https://doi.org/10.1007/s11253-018-1504-1

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