Nonconcentration of eigenfunctions for partially rectangular billiards

Details Nonconcentration of eigenfunctions for partially rectangular billiards Nonconcentration of eigenfunctions for partially rectangular billiards

2004-09-29

arxiv.org/abs/math/0409579v2

Mathematics

Analysis of PDEs

13 pages, 6 figures

Scientific paper

In this paper, the results of Burq and Zworski are further developed to study
nonconcentration of eigenfunctions for billiards which have rectangular
components: these include the Buminovich billiard, the Sinai billiard, and
certain pseudointegrable billiards. The results presented are an application of
using a "black box" point of view as presented by the same authors.

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