Ivan Beschastnyi

activity

20202024

most citedClosure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2024

Schrödinger operators with non-integer power-law potentials and Lie-Rinehart algebras

Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1

We study Schrödinger operators $H := - Δ + V$ with potentials $V$ that have power-law growth (not necessarily polynomial) at 0 and at $\infty$ using methods of Lie theory (Lie-Rinehar…

math.DG2021★ 1 cited

Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds

Ivan Beschastnyi

The problem of determining the domain of the closure of the Laplace-Beltrami operator on a 2D almost-Riemannian manifold is considered. Using tools from theory of Lie groupoids nat…

math.FA2020

Quantum confinement for the curvature Laplacian $- Δ + cK$ on 2D-almost-Riemannian manifolds

Ivan Beschastnyi, Ugo Boscain, Eugenio Pozzoli

Two-dimension almost-Riemannian structures of step 2 are natural generalizations of the Grushin plane. They are generalized Riemannian structures for which the vectors of a local o…

Schrödinger operators with non-integer power-law potentials and Lie-Rinehart algebras

Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds

Quantum confinement for the curvature Laplacian −Δ+cK on 2D-almost-Riemannian manifolds

Quantum confinement for the curvature Laplacian $- Δ + cK$ on 2D-almost-Riemannian manifolds