3 citations · 3 across the 6 of their papers we have counts for
4 papers · 1 filter
Admissibility theory in abstract Sobolev scales and transfer function growth at high frequencies
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
For strongly continous semigroups on Hilbert spaces, we investigate admissibility properties of control and observation operators shifted along continuous scales of spaces built by…
A non-uniform Datko-Pazy theorem for bounded operator semigroups
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
We present a non-uniform analogue of the classical Datko-Pazy theorem. Our main result shows that an integrability condition imposed on orbits originating in a fractional domain of…
Polynomial stability of a coupled wave-heat network
Lassi Paunonen, David Seifert
We study the long-time asymptotic behaviour of a topologically non-trivial network of wave and heat equations. By analysing the simpler wave and the heat networks separately, and t…
Stability of abstract coupled systems
Serge Nicaise, Lassi Paunonen, David Seifert
We study stability of abstract differential equations coupled by means of a general algebraic condition. Our approach is based on techniques from operator theory and systems theory…