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arXiv:1504.01069 [math.AP]AbstractReferencesReviewsResources

$L^p$ bounds on eigenfunctions for operators with double characteristics

Katya Krupchyk, Gunther Uhlmann

Published 2015-04-05Version 1

We obtain sharp $L^p$ bounds on the ground states 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.

Categories: math.AP, math.SP
Subjects: 35P20, 81Q12, 81Q20
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