2 citations · 2 across the 6 of their papers we have counts for
6 papers
The Grothendieck duality and sparse minimizing in spaces of Sobolev solutions to elliptic systems
Alexander Shlapunov, Alexander Polkovnikov, Kseniya Gagelgans
We present an instructive example of using Banach spaces of solutions to (linear, generally, non-scalar) elliptic operator to investigate variational inverse problems related t…
Maxwell's and Stokes' operators associated with elliptic differential complexes
Alexander Shlapunov, Alexander Polkovnikov, Victor Mironov
We propose a new technique to generate reasonable systems of partial differential equations (PDE) that could be potential candidates for depicting models in natural sciences relate…
Existence theorem of a weak solution for Navier-Stokes type equations associated with de Rham complex
Alexander Polkovnikov
Let be de Rham complex on a smooth compact closed manifold over with Laplacians . We consider operator equations, associated with t…
An open mapping theorem for nonlinear operator equations associated with elliptic complexes
Alexander Polkovnikov
Let be the elliptic complex on a -dimensional smooth closed Riemannian manifold with the first order differential operators and smooth vector bundl…
On initial boundary value problem for parabolic differential operator with non-coercive boundary conditions
Alexander Polkovnikov
We consider initial boundary value problem for uniformly 2-parabolic differential operator of second order in cylinder domain in with non-coercive boundary conditi…
On non-coercive mixed problems for parameter-dependent elliptic operators
A. Polkovnikov, A. Shlapunov
We consider a (generally, non-coercive) mixed boundary value problem in a bounded domain of for a second order parameter-dependent elliptic differential operato…