14 citations · 29 across the 8 of their papers we have counts for
8 papers
Spherical Logvinenko-Sereda-Kovrijkine type inequality and null-controllability of the heat equation on the sphere
Alexander Dicke, Ivan Veselic
It is shown that the restriction of a polynomial to a sphere satisfies a Logvinenko-Sereda-Kovrijkine type inequality (a specific type of uncertainty relation). This implies a spec…
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…
Wegner estimate for random divergence-type operators monotone in the randomness
Alexander Dicke
In this note, a Wegner estimate for random divergence-type operators that are monotone in the randomness is proven. The proof is based on a recently shown unique continuation estim…