118 citations · 599 across the 48 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
Weakly elliptic damping gives sharp decay
Lassi Paunonen, Nicolas Vanspranghe, Ruoyu P. T. Wang
We prove that weakly elliptic damping gives sharp energy decay for the abstract damped wave semigroup, where the damping is not in the functional calculus. In this case, there is n…
Optimal decay for a wave-heat system with Coleman-Gurtin thermal law
Filippo Dell'Oro, Lassi Paunonen, David Seifert
We study the long-term behaviour of solutions to a one-dimensional coupled wave-heat system with Coleman-Gurtin thermal law. Our approach is based on the asymptotic theory of …
Robustness of polynomial stability of damped wave equations
D. Baidiuk, L. Paunonen
In this paper we present new results on the preservation of polynomial stability of damped wave equations under addition of perturbing terms. We in particular introduce sufficient…
On Polynomial Stability of Coupled Partial Differential Equations in 1D
Lassi Paunonen
We study the well-posedness and asymptotic behaviour of selected PDE-PDE and PDE-ODE systems on one-dimensional spatial domains, namely a boundary coupled wave-heat system and a wa…
Optimal energy decay for the wave-heat system on a rectangular domain
Charles Batty, Lassi Paunonen, David Seifert
We study the rate of energy decay for solutions of a coupled wave-heat system on a rectangular domain. Using techniques from the theory of -semigroups, and in particular a wel…
Optimal energy decay in a one-dimensional coupled wave-heat system
C. J. K. Batty, L. Paunonen, D. Seifert
We study a simple one-dimensional coupled wave-heat system and obtain a sharp estimate for the rate of energy decay of classical solutions. Our approach is based on the asymptotic…