138 citations · 1.3k across the 90 of their papers we have counts for
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The abstract Birman-Schwinger principle and spectral stability
Marcel Hansmann, David Krejcirik
We discuss abstract Birman-Schwinger principles to study spectra of self-adjoint operators subject to small non-self-adjoint perturbations in a factorised form. In particular, we e…
From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation
David Krejcirik, Tereza Kurimaiova
Using a correspondence between the spectrum of the damped wave equation and non-self-adjoint Schroedinger operators, we derive various bounds on complex eigenvalues of the former.…
Spectral analysis of the multi-dimensional diffusion operator with random jumps from the boundary
David Krejcirik, Vladimir Lotoreichik, Konstantin Pankrashkin +1
We develop a Hilbert-space approach to the diffusion process of the Brownian motion in a bounded domain with random jumps from the boundary introduced by Ben-Ari and Pinsky in 2007…