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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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Publishers). |
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