8 citations · 14 across the 6 of their papers we have counts for
6 papers
Schrödinger operators with accretive potentials in weighted spaces
Borbala Gerhat, Petr Siegl
We analyse Schrödinger operators with accretive potentials in weighted spaces. We find conditions on potentials and weights for which the Dirichlet realisation, introduced by gener…
Semigroup decay for the wave equation with unbounded damping
Antonio Arnal, Borbala Gerhat, Julien Royer +1
We study the damped wave equation with a damping coefficient which is possibly singular and unbounded at infinity. In general, zero belongs to the spectrum of the corresponding gen…
Criticality transition for positive powers of the discrete Laplacian on the half line
Borbala Gerhat, David Krejcirik, Frantisek Stampach
We study the criticality and subcriticality of powers with of the discrete Laplacian acting on . We prove that these positive powers of the…
An improved discrete Rellich inequality on the half-line
Borbala Gerhat, David Krejcirik, Frantisek Stampach
Based on a new idea of factorization, we prove an improved discrete Rellich inequality and discuss its optimality. We also give a conjecture on improved higher order discrete Hardy…
Schur complement dominant operator matrices
Borbala Gerhat
We propose a method for the spectral analysis of unbounded operator matrices in a general setting which fully abstains from standard perturbative arguments. Rather than requiring t…
Pseudo Numerical Ranges and Spectral Enclosures
Borbala Gerhat, Christiane Tretter
We introduce the new concepts of pseu\-do numerical range for operator functions and families of sesquilinear forms as well as the pseu\-do block numerical range for o…