18 citations · 28 across the 6 of their papers we have counts for
7 papers
Spectral approximation of generalized Schrödinger operators via approximation of subwords
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra of ge…
Final State Observability in Banach spaces with applications to Subordination and Semigroups induced by L{é}vy processes
Dennis Gallaun, Jan Meichsner, Christian Seifert
This paper generalizes the abstract method of proving an observability estimate by combining an uncertainty principle and a dissipation estimate. In these estimates we allow for a…
Finite Sections of Periodic Schrödinger Operators
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We study discrete Schrödinger operators with periodic potentials as they are typically used to approximate aperiodic Schrödinger operators like the Fibonacci Hamiltonian. We pr…
Sufficient criteria for stabilization properties in Banach spaces
Michela Egidi, Dennis Gallaun, Christian Seifert +1
We study abstract sufficient criteria for open-loop stabilizability of linear control systems in a Banach space with a bounded control operator, which build up and generalize a suf…
Finite section method for aperiodic Schrödinger operators
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We consider 1D discrete Schrödinger operators with aperiodic potentials given by a Sturmian word, which is a natural generalisation of the Fibonacci Hamiltonian. Via a standard app…
Observability and null-controllability for parabolic equations in -spaces
Clemens Bombach, Dennis Gallaun, Christian Seifert +1
We study (approximate) null-controllability of parabolic equations in and provide explicit bounds on the control cost. In particular we consider systems of the…
Sufficient criteria and sharp geometric conditions for observability in Banach spaces
Dennis Gallaun, Christian Seifert, Martin Tautenhahn
Let be Banach spaces, a -semigroup on , the corresponding infinitesimal generator on , a bounded linear operator from to , and $…