2 citations · 2 across the 4 of their papers we have counts for
4 papers
Matrix parabolic problems in Sobolev spaces of generalized smoothness
Valerii Los, Vladimir Mikhailets, Aleksandr Murach
We study a general linear parabolic problem for Petrovskii parabolic differential system in Sobolev anisotropic distribution spaces of generalized smoothness. Slowly varying functi…
On the Classicality of Solutions to a Boundary Value Problem for a Second-Order Parabolic System
O. V. Diachenko, V. M. Los
We study a parabolic initial-boundary-value problem for a system of two differential equations with two boundary conditions of different orders, the Dirichlet and Neumann ones. It…
Parabolic boundary-value problems and generalized Sobolev spaces
V. M. Los, V. A. Mikhailets, A. A. Murach
The research monograph expounds the foundation of a new theory of parabolic initial-boundary-value problems in scales of generalized anisotropic Sobolev spaces. These scales are ca…
Some problems for Petrovskii parabolic systems in generalized Sobolev spaces
Aleksandr Dyachenko, Valerii Los
We consider an inhomogeneous initial-boundary value problem for a Petrovskii parabolic system of second order PDEs. We prove that this problem induces isomorphisms between appropri…