22 citations · 107 across the 27 of their papers we have counts for
27 papers
Unique continuation estimates for Baouendi--Grushin equations on cylinders
Paul Alphonse, Albrecht Seelmann
We prove time-pointwise quantitative unique continuation estimates for the evolution operators associated to (fractional powers of) the Baouendi--Grushin operators on the cylinder…
Relative residual bounds for eigenvalues in gaps of the essential spectrum
Albrecht Seelmann
The relative distance between eigenvalues of the compression of a not necessarily semibounded self-adjoint operator to a closed subspace and some of the eigenvalues of the original…
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…
Sturm-Liouville Problems And Global Bounds By Small Control Sets And applications to quantum graphs
Michela Egidi, Delio Mugnolo, Albrecht Seelmann
We develop a Logvinenko--Sereda theory for one-dimensional vector-valued self-adjoint operators. We thus deliver upper bounds on -norms of eigenfunctions -- and linear combina…
Quantitative spectral inequalities for the anisotropic Shubin operators and applications to null-controllability
Paul Alphonse, Albrecht Seelmann
We prove quantitative spectral inequalities for the (anisotropic) Shubin operators on the whole Euclidean space, thus relating for functions from spectral subspaces associated to f…
Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials
Alexander Dicke, Albrecht Seelmann, Ivan Veselic
We prove a spectral inequality (a specific type of uncertainty relation) for Schrödinger operators with confinement potentials, in particular of Shubin-type. The sensor sets are al…