We study elliptic boundary-value problems with additional unknown functions in boundary conditions. These problems were introduced by Lawruk. We prove that the operator …
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 …
The research monograph expounds the foundation of a new theory of parabolic initial- boundary-value problems in scales of generalized anisotropic Sobolev spaces. These …
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 …
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 …
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 …
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 …
We investigate elliptic boundary-value problems with additional unknown functions in boundary-conditions introduced by Lawruk. We prove that these problems are Fredholm in …
Касiренко ТМ Нерегулярнi елiптичнi крайовi задачi у просторах Хермандера.– Квалiфiкацiйна наукова праця на правах рукопису. Дисертацiя на здобуття наукового …