most citedThe Internal Model Principle for Systems with Unbounded Control and Observation

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math.AP2024

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…

math.AP2024

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…