14 citations · 29 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…
Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials
Alexander Dicke, Christian Rose, Albrecht Seelmann +1
Recent (scale-free) quantitative unique continuation estimates for spectral subspaces of Schrödinger operators are extended to allow singular potentials such as certain -funct…