Semiclassical Lp Estimates |
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| Authors: | Herbert Koch Daniel Tataru Maciej Zworski |
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| Affiliation: | 1.Mathematisches Institut,Universit?t Bonn,Bonn,Germany;2.Mathematics Department,University of California,Berkeley,USA |
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| Abstract: | The purpose of this paper is to use semiclassical analysis to unify and generalize L p estimates on high energy eigenfunctions and spectral clusters. In our approach these estimates do not depend on ellipticity and order, and apply to operators which are selfadjoint only at the principal level. They are estimates on weakly approximate solutions to semiclassical pseudodifferential equations. Submitted: May 11, 2006. Accepted: September 19, 2006. |
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