Bernhard Hermann Haak

Weighted Admissibility and Wellposedness of Linear Systems in Banach Spaces

We study linear control systems in infinite-dimensional Banach spaces governed by analytic semigroups. For

Maximal regularity for non-autonomous evolution equations

p\in[1,\infty]

On Kato’s Method for Navier–Stokes Equations

and

The Weiss conjecture and weak norms

\alpha\in\mathbb{R}

The stochastic Weiss conjecture for bounded analytic semigroups

we introduce the notion of

Observation of Volterra systems with scalar kernels

L^p

Admissibility of Unbounded Operators and Wellposedness of Linear Systems in Banach Spaces

-admissibility of type

Perturbation, interpolation, and maximal regularity

\alpha

A stochastic Datko–Pazy theorem☆

for unbounded observation and control operators. Generalizing earlier work by Le Merdy [J. London Math. Soc. (2), 67 (2003), pp. 715-738] and Haak and Le Merdy [Houston J. Math., 31 (2005), pp. 1153-1167], we give conditions under which

Admissibility and controllability of diagonal Volterra equations with scalar inputs

L^p