Martin Tautenhahn

collaborators

4 papers

math.SP2026

Uncertainty principles and lower bounds for SchrÃ¶dinger operators

Albrecht BÃ¶ttcher, Peter Stollmann, Martin Tautenhahn

We prove that two different abstract quantitative uncertainty principles are equivalent to the strict positivity of the associated abstract SchrÃ¶\-din\-ger operators. We also disc…

math.OC2026

On controllability, observability and stabilizability of the heat equation on discrete graphs

Florentin MÃ¼nch, Christian Seifert, Peter Stollmann +1

We consider linear control problems for the heat equation of the form $f ˙ (t) = - H f (t) + 1_{D} u (t)$ , $f (0) \in ℓ_{2} (X, m)$ , where $H$ is the weighted Laplacian on…

math.AP2025

Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

Martin Tautenhahn, Ivan Veselic

We consider elliptic second order partial differential operators with Lipschitz continuous leading order coefficients on finite cubes and the whole Euclidean space. We prove quanti…

math.FA2025

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 $I^» \in (0, \infty)^{d}$ , all $f \in L^p (\mat…