8 citations · 8 across the 3 of their papers we have counts for
3 papers
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…
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…
Velocity Stabilization of a Wave Equation with a Nonlinear Dynamic Boundary Condition
Nicolas Vanspranghe, Francesco Ferrante, Christophe Prieur
This paper deals with a one-dimensional wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a c…