Elliptic problems with additional unknowns in boundary conditions and generalized Sobolev spaces

A Anop, I Chepurukhina, A Murach - Axioms, 2021 - mdpi.com
In generalized inner product Sobolev spaces we investigate elliptic differential problems
with additional unknown functions or distributions in boundary conditions. These spaces are …

Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces

AA Murach, IS Chepurukhina - Ukrainian Mathematical Journal, 2015 - Springer
We study elliptic boundary-value problems with additional unknown functions in boundary
conditions. These problems were introduced by Lawruk. We prove that the operator …

Elliptic operators and boundary problems in spaces of generalized smoothness

VA Mikhailets, AA Murach, IS Chepurukhina - arXiv preprint arXiv …, 2024 - arxiv.org
The paper contains a survey of the results obtained during the last ten years in the theory of
elliptic boundary problems in H\" ormander function spaces, developed by the authors, and …

Parabolic boundary-value problems and generalized Sobolev spaces

VM Los, VA Mikhailets, AA Murach - arXiv preprint arXiv:2109.03566, 2021 - arxiv.org
The research monograph expounds the foundation of a new theory of parabolic initial-
boundary-value problems in scales of generalized anisotropic Sobolev spaces. These …

Elliptic problems with unknowns on the boundary and irregular boundary data

I Chepurukhina, A Murach - arXiv preprint arXiv:2006.08379, 2020 - arxiv.org
We consider an elliptic problem with unknowns on the boundary of the domain of the elliptic
equation and suppose that the right-hand side of this equation is square integrable and that …

Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale

T Kasirenko, I Chepurukhina - arXiv preprint arXiv:1804.00474, 2018 - arxiv.org
In a refined Sobolev scale, we investigate an elliptic boundary-value problem with additional
unknown functions in boundary conditions for which the maximum of orders of boundary …

[HTML][HTML] Еліптичні оператори і крайові задачі у просторах узагальненої гладкості

V Mikhailets, A Murach… - … kyi Matematychnyi Zhurnal, 2024 - umj.imath.kiev.ua
We present a survey of the results obtained for the last ten years in the theory of elliptic
boundary-value problems in the Hörmander function spaces developed by the authors, and …

Elliptic problems with boundary operators of higher orders in H\" ormander-Roitberg spaces

T Kasirenko, A Murach - arXiv preprint arXiv:1802.00333, 2018 - arxiv.org
We investigate elliptic boundary-value problems for which the maximum of the orders of the
boundary operators is equal to or greater than the order of the elliptic differential equation …

[PDF][PDF] Теореми типу Лiнса-Мадженеса для елiптичних за Лавруком крайових задач

IС Чепурухiна - trim.imath.kiev.ua
We investigate elliptic boundary-value problems with additional unknown functions in
boundary-conditions introduced by Lawruk. We prove that these problems are Fredholm in …

[PDF][PDF] НЕРЕГУЛЯРНI ЕЛIПТИЧНI КРАЙОВI ЗАДАЧI У ПРОСТОРАХ ХЕРМАНДЕРА

ОО Мурач - imath.kiev.ua
Касiренко ТМ Нерегулярнi елiптичнi крайовi задачi у просторах Хермандера.–
Квалiфiкацiйна наукова праця на правах рукопису. Дисертацiя на здобуття наукового …