Abstract

We study the problem of scattering by $J$ 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 $O(|\lambda |\log <!--FUNCTION\; APPLICATION-->|\lambda |)$ 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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