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math.FA2024
A Logvinenko-Sereda theorem for vector-valued functions and application to control theory
Clemens Bombach, Martin Tautenhahn
We prove a Logvinenko-Sereda Theorem for vector valued functions. That is, for an arbitrary Banach space , all , all , all $f \in L^p (\math…
math.FA2022★ 3 cited
Observability for Non-autonomous Systems
Clemens Bombach, Fabian Gabel, Christian Seifert +1
We study non-autonomous observation systems \begin{align*} \dot{x}(t) = A(t) x(t),\quad y(t) = C(t) x(t),\quad x(0) = x_0\in X, \end{align*} where is a strongly measurable…
math.FA2020★ 9 cited
Observability and null-controllability for parabolic equations in -spaces
Clemens Bombach, Dennis Gallaun, Christian Seifert +1
We study (approximate) null-controllability of parabolic equations in and provide explicit bounds on the control cost. In particular we consider systems of the…