63 citations · 837 across the 76 of their papers we have counts for
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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…