22 citations · 107 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
Uncertainty principle for Hermite functions and null-controllability with sensor sets of decaying density
Alexander Dicke, Albrecht Seelmann, Ivan Veselic
We establish a family of uncertainty principles for finite linear combinations of Hermite functions. More precisely, we give a geometric criterion on a subset $S\subset \RR^d$ ensu…
Uncertainty principles with error term in Gelfand-Shilov spaces
Alexander Dicke, Albrecht Seelmann
In this note, an alternative approach to establish observability for semigroups based on their smoothing properties is presented. The results discussed here are closely related to…
Control problem for quadratic parabolic differential equations with sparse sensor sets of finite volume or anisotropically decaying density
Alexander Dicke, Albrecht Seelmann, Ivan Veselic
We prove observability and null-controllability for quadratic parabolic differential equations. The sensor set is allowed to be sparse and have finite volume if the generator has t…