3 papers
math.SP2023
Magnetic Schrödinger operator with the potential supported in a curved two-dimensional strip
Juan Bory Reyes, Baruch Schneider, Diana Schneiderova
We consider the magnetic Schrödinger operator with a non-negative potential supported over a strip which is a local deformation of a straight one, and th…
math.SP2023
Spectral convergence of the Laplace operator with Robin boundary conditions on a small hole
Diana Barseghyan, Baruch Schneider
In this paper we study a bounded domain with a small hole removed. Our main result concerns the spectrum of the Laplace operator with the Robin conditions imposed at the hole bound…
math.SP2023
Magnetic Neumann Laplacian on a domain with hole
Diana Barseghyan, Swanhild Bernstein, Baruch Schneider
This article gives a domain with a small compact set of removed and the magnetic Neumann Laplacian on such set. The main theorem of this article shows the description of the holes…