138 citations · 1.3k across the 90 of their papers we have counts for
4 papers · 1 filter
On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators
D. Krejcirik, P. Siegl, J. Zelezny
We consider one-dimensional Schroedinger-type operators in a bounded interval with non-self-adjoint Robin-type boundary conditions. It is well known that such operators are generic…
The Brownian traveller on manifolds
Martin Kolb, David Krejcirik
We study the influence of the intrinsic curvature on the large time behaviour of the heat equation in a tubular neighbourhood of an unbounded geodesic in a two-dimensional Riemanni…
The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions
Denis Borisov, David Krejcirik
The Laplacian in an unbounded tubular neighbourhood of a hyperplane with non-Hermitian complex-symmetric Robin-type boundary conditions is investigated in the limit when the width…
The improved decay rate for the heat semigroup with local magnetic field in the plane
David Krejcirik
We consider the heat equation in the presence of compactly supported magnetic field in the plane. We show that the magnetic field leads to an improvement of the decay rate of the h…