Borbala Gerhat

activity

20222026

collaborators

3 papers

math.AP2026

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…

math.SP2023

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 $(- Δ)^{α}$ with $α > 0$ of the discrete Laplacian $- Δ$ acting on $ℓ^{2} (N)$ . We prove that these positive powers of the…

math.SP2022

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…