138 citations · 1.3k across the 90 of their papers we have counts for
7 papers · 1 filter
From Symmetry to Monotonicity
Bernd Kawohl, David Krejčiřík
We offer an alternative and shorter proof to a result by Jan J.Ubøe about monotonicity properties of a one-dimensional function that appeared in the Mathematical Intelligencer in 2…
Absence of eigenvalues of two-dimensional magnetic Schroedinger operators
Luca Fanelli, David Krejcirik, Luis Vega
By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schr…
Location of hot spots in thin curved strips
David Krejcirik, Matěj Tušek
The maxima and minima of Neumann eigenfunctions of thin tubular neighbourhoods of curves on surfaces are located in terms of the maxima and minima of Neumann eigenfunctions of 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…
Lifshits tails for randomly twisted quantum waveguides
Werner Kirsch, David Krejcirik, Georgi Raikov
We consider the Dirichlet Laplacian on a 3D twisted waveguide with random Anderson-type twisting . We introduce the integrated density of states for the operator $H_…
Pseudomodes for Schroedinger operators with complex potentials
David Krejcirik, Petr Siegl
For one-dimensional Schroedinger operators with complex-valued potentials, we construct pseudomodes corresponding to large pseudoeigenvalues. Our (non-semi-classical) approach resu…