3 papers
math.AP2025
Dispersive estimates for Schrödinger's and wave equations on Riemannian manifolds
Marius Beceanu
This paper proves decay estimates for Schrödinger's and wave equations with scalar potentials on three-dimensional Riemannian manifolds. The main result regards small pertur…
math.AP2025
Decay estimates for Schrödinger's equation with magnetic potentials in three dimensions
Marius Beceanu, Hyun-Kyoung Kwon
In this paper we prove that Schrödinger's equation with a Hamiltonian of the form , which includes a magnetic potential , has the same dispers…
math.NA2024
The Eigenvalue Problem for the Laplacian via Conformal Mapping and the Gohberg--Sigal Theory
Marius Beceanu, Jiho Hong, Hyun-Kyoung Kwon +1
We consider the Dirichlet and Neumann eigenvalues of the Laplacian for a planar, simply connected domain. The eigenvalues admit a characterization in terms of a layer potential of…