Title | General elliptic boundary-value problems in Hörmander—Roitberg spaces |
Publication Type | Journal Article |
Year of Publication | 2018 |
Authors | Kasirenko, TM |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2018.02.003 |
Issue | 2 |
Section | Mathematics |
Pagination | 3-11 |
Date Published | 2/2018 |
Language | Ukrainian |
Abstract | We prove theorems on the character of solvability and regularity of solutions of general elliptic boundary-value problems in Hilbert Hörmander spaces modified by Roitberg. An arbitrary real number and a sufficiently general weight function of frequency variables serve as the indices of regularity for these spaces. |
Keywords | a priori estimate, elliptic problem, Fredholm operator, Hörmander space, regularity of a solution, RO-varying function |
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