9 citations · 10 across the 6 of their papers we have counts for
6 papers
Resolvent estimates for one-dimensional Dirac operators with imaginary potentials
Antonio Arnal, Tho Nguyen Duc, Petr Siegl
We investigate massive one-dimensional Dirac operators perturbed by diagonal matrix potentials of the form where the function is real-valued and unbounded at infinity. Fo…
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…
Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators
Antonio Arnal, Jussi Behrndt, Markus Holzmann +1
We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on…
Generalised Airy Operators
Antonio Arnal, Petr Siegl
We study the behaviour of the norm of the resolvent for non-self-adjoint operators of the form , with , defined in . We provid…
Resolvent estimates for the one-dimensional damped wave equation with unbounded damping
Antonio Arnal
We study the generator of the one-dimensional damped wave equation with unbounded damping. We show that the norm of the corresponding resolvent operator, ,…
Resolvent estimates for one-dimensional Schrödinger operators with complex potentials
Antonio Arnal, Petr Siegl
We study one-dimensional Schrödinger operators with unbounded complex potentials and derive asymptotic estimates for the norm of the reso…