9 citations · 12 across the 6 of their papers we have counts for
7 papers
Response Variability and Stability in Human Reasoning
Clemens Bombach, Rajmadan Lakshmanan, Marco Ragni
Understanding how humans reason -- and how reasoning responses vary across tasks and individuals -- remains a core challenge for modeling and explanation in cognitive science. We i…
Stabilizability of neural fields from thick subsets
Clemens Bombach, Marco Ragni
An important problem in neuro-engineering is the stabilization of neural fields. In applications, it is often assumed that the actuator placement can be chosen arbitrarily. In this…
Unique determination of a Kato class potential from boundary data
Clemens Bombach
We prove that a Kato class potential defined on an open, bounded set in with Lipschitz boundary is uniquely determined by the Dirichlet-to-Neumann operator assoc…
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…
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…
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…
Uniqueness in the Calderón problem via infinitesimally bounded potentials
Clemens Bombach
The Calderón problem is an inverse problem with applications to electrical impedance tomography and geophysical prospection. We prove uniqueness in the Calderón problem in spatial…