3 citations · 3 across the 6 of their papers we have counts for
6 papers
Optimal energy decay rates for Klein-Gordon equations with Kelvin-Voigt damping
Filippo Dell'Oro, Lassi Paunonen, David Seifert
We study the long-time behaviour of solutions to a one-dimensional linear Klein-Gordon equation with Kelvin-Voigt damping. One of the interesting features of the equation is that t…
Polynomial Stability of Non-Linearly Damped Contraction Semigroups
Lassi Paunonen, David Seifert
We investigate the stability properties of an abstract class of semi-linear systems. Our main result establishes rational rates of decay for classical solutions assuming a certain…
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…