Semiclassical Lp estimates of quasimodes on curved hypersurfaces

Hassell, Andrew; Tacy, Melissa

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Semiclassical Lp estimates of quasimodes on curved hypersurfaces

Date

2012

Authors

Hassell, Andrew

Tacy, Melissa

Publisher

Springer Verlag

Abstract

Let M be a compact manifold of dimension n, P=P(h) a semiclassical pseudodifferential operator on M, and u=u(h) an L 2 normalized family of functions such that P(h)u(h) is O(h) in L 2(M) as h↓0. Let H⊂M be a compact submanifold of M. In a previous art