30 citations · 128 across the 34 of their papers we have counts for
3 papers · 2 filters
An isomorphism theorem for parabolic problems in Hörmander spaces and its applications
Valerii Los, Vladimir A. Mikhailets, Aleksandr A. Murach
We investigate a general parabolic initial-boundary value problem with zero Cauchy data in some anisotropic Hörmander inner product spaces. We prove that the operators correspondin…
Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces
Valerii Los, Aleksandr Murach
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 gener…
Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces
Iryna S. Chepurukhina, Aleksandr A. Murach
We investigate elliptic boundary-value problems with additional unknown functions in boundary conditions. These problems were introduced by Lawruk. We prove that the operator corre…