Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Aleksandr A. Murach"'
Publikováno v:
Axioms
Volume 10
Issue 4
Axioms, Vol 10, Iss 292, p 292 (2021)
Volume 10
Issue 4
Axioms, Vol 10, Iss 292, p 292 (2021)
In generalized inner product Sobolev spaces we investigate elliptic differential problems with additional unknown functions or distributions in boundary conditions. These spaces are parametrized with a function OR-varying at infinity. This characteri
Publikováno v:
Complex Analysis and Operator Theory. 13:1431-1440
We investigate properties of function spaces induced by the inner product Sobolev spaces $H^{s}(\Omega)$ over a bounded Euclidean domain $\Omega$ and by an elliptic differential operator $A$ on $\overline{\Omega}$. The domain and the coefficients of
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 the boundary data are arbitrary (specifically, irregular) distrib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9dfcc7d9b5d76909b410485ca2ecfa0
http://arxiv.org/abs/2006.08379
http://arxiv.org/abs/2006.08379
We investigate regular elliptic boundary-value problems in bounded domains and show the Fredholm property for the related operators in an extended scale formed by inner product Sobolev spaces (of arbitrary real orders) and corresponding interpolation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::990d68bec1efda63f096a2271cfc38f4
Autor:
Valerii Los, Aleksandr A. Murach
Publikováno v:
Open Mathematics, Vol 15, Iss 1, Pp 57-76 (2017)
In Hörmander inner product spaces, we investigate initial-boundary value problems for an arbitrary second order parabolic partial differential equation and the Dirichlet or a general first-order boundary conditions. We prove that the operators corre
Publikováno v:
Communications on Pure & Applied Analysis. 16:69-98
We investigate a general parabolic initial-boundary value problem with zero Cauchy data in some anisotropic Hormander inner product spaces. We prove that the operators corresponding to this problem are isomorphisms between appropriate Hormander space
We consider a general inhomogeneous parabolic initial-boundary value problem for a $2b$-parabolic differential equation given in a finite multidimensional cylinder. We investigate the solvability of this problem in some generalized anisotropic Sobole
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e48d3101fada96bcaf30e1b41dd89505
We introduce an extended Sobolev scale on a smooth compact manifold with boundary. The scale is formed by inner-product H\"ormander spaces for which an RO-varying radial function serves as a regularity index. These spaces do not depend on a choice of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38b8a56b055661c5e7628a0c3122341f
http://arxiv.org/abs/1812.02700
http://arxiv.org/abs/1812.02700
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 87, Pp 1-16 (2016)
We introduce the most general class of linear boundary-value problems for systems of first-order ordinary differential equations whose solutions belong to the complex H\"older space $C^{n+1,\alpha}$, with $0\leq n\in\mathbb{Z}$ and $0\leq\alpha\leq1$
Publikováno v:
Ukrainian Mathematical Journal. 67:764-784
We study elliptic boundary-value problems with additional unknown functions in boundary conditions. These problems were introduced by Lawruk. We prove that the operator corresponding to a problem of this kind is bounded and Fredholm in appropriate co