Weakly elliptic damping gives sharp decay
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 no overdamping. We show applications in linearised water waves and Kelvin–Voigt damping.
Authors
- Lassi Paunonen (ORCID: https://orcid.org/0000-0001-6497-4718)
- Nicolas Vanspranghe (ORCID: https://orcid.org/0000-0002-8078-1219)
- Ruoyu Wang (ORCID: https://orcid.org/0000-0002-5181-785X)
Publication Details
- Journal
- Comptes Rendus Mathématique
- Published
- 2025-10-13
- DOI
- https://doi.org/10.5802/crmath.767
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council