The monograph gives a detailed exposition of the theory of general elliptic operators (scalar
and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander function …

The paper gives a detailed survey of recent results on elliptic problems in Hilbert spaces of
generalized smoothness. The latter are the isotropic Hörmander spaces $ H^{s,\varphi}:= B …

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 …

We explicitly describe all Hilbert function spaces that are interpolation spaces with respect to
a given couple of Sobolev inner product spaces considered over R^ n R n or a half-space in …

arXiv:0712.1135v1 [math.AP] 7 Dec 2007 Page 1 arXiv:0712.1135v1 [math.AP] 7 Dec 2007
СЦЬ ЪШЧФ ЬСЧЦ ЯСЬР ЭЦ ЬСЧЦ Ш Ъ Х Ь Ъ Ц Ъ СЦ Ы Ф Ч ЫШ Ы ЮФ СХСЪ К ХСУР СФ …

We obtain a constructive description of all Hilbert function spaces that are interpolation
spaces with respect to a pair of Sobolev spaces\left H^\left (s_0\right)\left (R^ n\right), H^\left …

We study elliptic boundary-value problems in improved scales of functional Hilbert spaces
on smooth manifolds with boundary. The isotropic Hörmander-Volevich-Paneyakh spaces …

We study a regular elliptic boundary-value problem in a bounded domain with smooth
boundary. We prove that the operator of this problem is a Fredholm one in a two-sided …

We investigate a general parabolic initial-boundary value problem with zero Cauchy data in
some anisotropic H\" ormander inner product spaces. We prove that the operators …

In generalized inner product Sobolev spaces we investigate elliptic differential problems
with additional unknown functions or distributions in boundary conditions. These spaces are …