9 citations · 13 across the 5 of their papers we have counts for
6 papers
A unified observability result for non-autonomous observation problems
Fabian Gabel, Albrecht Seelmann
A final-state observability result in the Banach space setting for non-autonomous observation problems is obtained that covers and extends all previously known results in this cont…
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…
The Stokes operator in two-dimensional bounded Lipschitz domains
Fabian Gabel, Patrick Tolksdorf
We consider the Stokes resolvent problem in a two-dimensional bounded Lipschitz domain subject to homogeneous Dirichlet boundary conditions. We prove -resolvent e…
Observability for Non-autonomous Systems
Clemens Bombach, Fabian Gabel, Christian Seifert +1
We study non-autonomous observation systems \begin{align*} \dot{x}(t) = A(t) x(t),\quad y(t) = C(t) x(t),\quad x(0) = x_0\in X, \end{align*} where is a strongly measurable…
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…
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…