79 citations · 481 across the 62 of their papers we have counts for
5 papers · 2 filters
Spectral enclosures for non-self-adjoint extensions of symmetric operators
Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik +1
The spectral properties of non-self-adjoint extensions of a symmetric operator in a Hilbert space are studied with the help of ordinary and quasi boundary triples and the…
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set, II: non-convex domains and higher dimensions
David Krejcirik, Vladimir Lotoreichik
We consider the problem of geometric optimisation of the lowest eigenvalue of the Laplacian in the exterior of a compact set in any dimension, subject to attractive Robin boundary…
Asymptotics of the bound state induced by -interaction supported on a weakly deformed plane
Pavel Exner, Sylwia Kondej, Vladimir Lotoreichik
In this paper we consider the three-dimensional Schrödinger operator with a -interaction of strength supported on an unbounded surface parametrized by the mapping $\mathb…
Spectral analysis of photonic crystals made of thin rods
Markus Holzmann, Vladimir Lotoreichik
In this paper we address the question how to design photonic crystals that have photonic band gaps around a finite number of given frequencies. In such materials electromagnetic wa…
Optimization of the lowest eigenvalue for leaky star graphs
Pavel Exner, Vladimir Lotoreichik
We consider the problem of geometric optimization for the lowest eigenvalue of the two-dimensional Schrödinger operator with an attractive -interaction of a fixed strength, the…