Descripción
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This note deals with semiclassical measures associated to (sufficiently accurate) quasimodes (uh) for the Laplace-Dirichlet operator on the disk. In this time-independent set-up, we simplify the statements of [ALM14] and their proofs.We describe the restriction of semiclassical measures to every invariant torus in terms of two-microlocal measures. As corollaries, we show regularity and delocalization properties for limit measures of |uh|2dx: these are absolutely continuous in the interior of the disk and charge every open set intersecting the boundary | |
Internacional
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Si |
Entidad
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Cornell University Library |
Lugar
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Páginas
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1-6 |
Referencia/URL
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http://arxiv.org/abs/1504.04234 |
Tipo de publicación
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Paper math.AP |