5 citations · 25 across the 20 of their papers we have counts for
26 papers
Spectral inequalities for combinations of Hermite functions and null-controllability for evolution equations enjoying Gelfand-Shilov smoothing effects
Jérémy Martin, Karel Pravda-Starov
This work is devoted to the study of uncertainty principles for finite combinations of Hermite functions. We establish some spectral inequalities for control subsets that are thick…
Geometric conditions for the exact controllability of fractional free and harmonic Schrödinger equations
Jérémy Martin, Karel Pravda-Starov
We provide necessary and sufficient geometric conditions for the exact controllability of the one-dimensional fractional free and fractional harmonic Schrödinger equations. The nec…
Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports
Karine Beauchard, Michela Egidi, Karel Pravda-Starov
We study the null-controllability of some hypoelliptic quadratic parabolic equations posed on the whole Euclidean space with moving control supports, and provide necessary or suffi…
Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations
Karine Beauchard, Philippe Jaming, Karel Pravda-Starov
Some recent works have shown that the heat equation posed on the whole Euclidean space is null-controllable in any positive time if and only if the control subset is a thick set. T…
Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities
Karel Pravda-Starov
We study evolution equations associated to time-dependent dissipative non-selfadjoint quadratic operators. We prove that the solution operators to these non-autonomous evolution eq…
Null-controllability of non-autonomous Ornstein-Uhlenbeck equations
Karine Beauchard, Karel Pravda-Starov
We study the null-controllability of parabolic equations associated to non-autonomous Ornstein-Uhlenbeck operators. When a Kalman type condition holds for some positive time ,…