Semiclassical Lp estimates

Details Semiclassical Lp estimates Semiclassical Lp estimates

2006-03-29

arxiv.org/abs/math-ph/0603080v1

Physics

Mathematical Physics

33 pages, 1 figure

Scientific paper

10.1007/s00023-006-0324-2

The purpose of this paper is to use semiclassical analysis to unify and generalize Lp 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.

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