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Irregular Elliptic Boundary-Value Problems and Hörmander Spaces

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We study irregular elliptic problems with boundary operators of higher orders and prove that these problems are Fredholm on appropriate pairs of the inner-product Hörmander spaces that form a two-sided… Click to show full abstract

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

Keywords: problems rmander; irregular elliptic; boundary value; elliptic boundary; rmander spaces; value problems

Journal Title: Ukrainian Mathematical Journal
Year Published: 2018

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