Strictly convex corners scatter

Lassi Päivärinta; Mikko Salo; Esa V. Vesalainen

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arXiv · 1404.2513

Strictly convex corners scatter

Lassi Päivärinta·Mikko Salo·Esa V. Vesalainen

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Abstract

We prove the absence of non-scattering energies for potentials in the plane having a corner of angle smaller than $π$. This extends the earlier result of Blåsten, Päivärinta and Sylvester who considered rectangular corners. In three dimensions, we prove a similar result for any potential with a circular conic corner whose opening angle is outside a countable subset of $(0,π)$.

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Lassi Päivärinta, Mikko Salo, Esa V. Vesalainen. 2014-04-25. Strictly convex corners scatter. https://arxiv.org/abs/1404.2513

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