Search Results - "Gabel, Fabian"
-
1
The Stokes operator in two-dimensional bounded Lipschitz domains
Published in Journal of Differential Equations (15-12-2022)“…We consider the Stokes resolvent problem in a two-dimensional bounded Lipschitz domain Ω subject to homogeneous Dirichlet boundary conditions. We prove…”
Get full text
Journal Article -
2
A unified observability result for non-autonomous observation problems
Published in Archiv der Mathematik (01-02-2024)“…A final-state observability result in the Banach space setting for non-autonomous observation problems is obtained that covers and extends all previously known…”
Get full text
Journal Article -
3
Spectral Approximation of Generalized Schrödinger Operators via Approximation of Subwords
Published in Complex analysis and operator theory (2024)“…We prove criteria, purely based on finite subwords of the potential, for spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra…”
Get full text
Journal Article -
4
A unified observability result for non-autonomous observation problems
Published 20-07-2023“…Arch. Math. 122 (2024), 227--239 A final-state observability result in the Banach space setting for non-autonomous observation problems is obtained that covers…”
Get full text
Journal Article -
5
The Stokes operator in two-dimensional bounded Lipschitz domains
Published 13-09-2022“…Journal of Differential Equations 340 (2022) 227-272 We consider the Stokes resolvent problem in a two-dimensional bounded Lipschitz domain $\Omega$ subject to…”
Get full text
Journal Article -
6
Observability for Non-autonomous Systems
Published 27-02-2023“…SIAM Journal on Control and Optimization 61 (2023) 313-339 We study non-autonomous observation systems \begin{align*} \dot{x}(t) = A(t) x(t),\quad y(t) = C(t)…”
Get full text
Journal Article -
7
Spectral approximation of generalized Schr\"odinger operators via approximation of subwords
Published 23-09-2022“…We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra…”
Get full text
Journal Article -
8
Finite Sections of Periodic Schr\"odinger Operators
Published 18-10-2021“…We study discrete Schr\"odinger operators $H$ with periodic potentials as they are typically used to approximate aperiodic Schr\"odinger operators like the…”
Get full text
Journal Article -
9
Finite section method for aperiodic Schr\"odinger operators
Published 01-04-2021“…We consider 1D discrete Schr\"odinger operators with aperiodic potentials given by a Sturmian word, which is a natural generalisation of the Fibonacci…”
Get full text
Journal Article