5 citations · 7 across the 10 of their papers we have counts for
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Mapping properties of certain integral operators
Victor Polunin, Vladimir Vasilyev, Nelly Erygina
We study mapping properties of two-dimensional linear integral operators in some weighted spaces with special kernels. The considered spaces are certain variant of Sobolev--Slobode…
On a general discrete boundary value problem
Vladimir Vasilyev, Alexander Vasilyev, Anastasia Mashinets
We study a general discrete boundary value problem in Sobolev--Slobodetskii spaces in a plane quadrant and reduce it to a system of integral equations. We show a solvability of the…
On discrete boundary value problems with nonlocal conditions in a quarter-plane
Vladimir Vasilyev, Anastasia Mashinets
We consider discrete analogue of model pseudo-differential equations in discrete plane sector using discrete variant of Sobolev--Slobodetskii spaces. Starting from the concept of w…
On some solvability theorems for pseudo-differential equations
Vladimir Vasilyev, Victor Polunin, Igor Shmal
We study a model elliptic pseudo-differential equation and simplest boundary value problems for a half-space and a special cone in Sobolev--Slobodetskii spaces which have different…