Martin Tautenhahn

activity

20092026

most citedAnderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method

38 citations · 237 across the 33 of their papers we have counts for

collaborators

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4 papers · 1 filter

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 $X$ , all $p \in [1, \infty]$ , all $λ \in (0, \infty)^{d}$ , 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 $(A (t))$ is a strongly measurable…

math.FA2020★ 9 cited

Observability and null-controllability for parabolic equations in $L_{p}$ -spaces

Clemens Bombach, Dennis Gallaun, Christian Seifert +1

We study (approximate) null-controllability of parabolic equations in $L_{p} (R^{d})$ and provide explicit bounds on the control cost. In particular we consider systems of the…

math.FA2019★ 18 cited

Sufficient criteria and sharp geometric conditions for observability in Banach spaces

Dennis Gallaun, Christian Seifert, Martin Tautenhahn

Let $X, Y$ be Banach spaces, $(S_{t})_{t \geq 0}$ a $C_{0}$ -semigroup on $X$ , $- A$ the corresponding infinitesimal generator on $X$ , $C$ a bounded linear operator from $X$ to $Y$ , and $…

A Logvinenko-Sereda theorem for vector-valued functions and application to control theory

Observability for Non-autonomous Systems

Observability and null-controllability for parabolic equations in Lp​-spaces

Sufficient criteria and sharp geometric conditions for observability in Banach spaces

Observability and null-controllability for parabolic equations in $L_{p}$ -spaces