3 papers
math.AP2025
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…
math.AP2022
The Fredholm Navier-Stokes type equations for the de Rham complex over weighted Hölder spaces
Kseniya Gagelgans, Alexander Shlapunov
We consider a family of initial problems for the Navier-Stokes type equations generated by the de Rham complex in , , with a positive time …
math.AP2021
On the cohomologies of the de Rham complex over weighted isotropic and anisotropic Hölder spaces
Ksenia Gagelgans
We consider the de Rham complex over scales of weighted isotropic and anisotropic Hölder spaces with prescribed asymptotic behaviour at the infinity. Starting from theorems on the…