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arXiv · 1504.01069

Bounds on eigenfunctions of semiclassical operators with double characteristics

Katya Krupchyk·Gunther Uhlmann
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Abstract

We obtain sharp uniform bounds on the low lying eigenfunctions for a class of semiclassical pseudodifferential operators with double characteristics and complex valued symbols, under the assumption that the quadratic approximations along the double characteristics are elliptic.

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Katya Krupchyk, Gunther Uhlmann. 2015-04-05. Bounds on eigenfunctions of semiclassical operators with double characteristics. https://arxiv.org/abs/1504.01069

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