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Resolvent estimates in
strips for obstacle scattering in 2D and local energy decay
for the wave equation
Lucas Vacossin |
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Vol. 5 (2023), No. 4, 1009–1039
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Abstract |
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We study the problem of scattering by strictly convex obstacles satisfying a no-eclipse condition in dimension 2. We use the result of our previous work (2022) to obtain polynomial resolvent estimates in strips below the real axis. We deduce estimates in for the truncated resolvent on the real line and give an application to the decay of the local energy for the wave equation. |
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Keywords
scattering resonances, spectral gap, resolvent estimates
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Mathematical Subject Classification
Primary: 35J05, 35L05
Secondary: 35J10, 35S30
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Milestones
Received: 16 January 2023
Revised: 13 April 2023
Accepted: 12 July 2023
Published: 15 December 2023
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Authors |
| Lucas Vacossin | |
| Laboratoire de Mathématiques
d’Orsay Université Paris-Saclay UMR 8628 du CNRS Orsay France |
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| © 2023 MSP (Mathematical Sciences Publishers). |
