Eigenfunction concentration for polygonal billiards
In this note, we extend the results on eigenfunction concentration in billiards as proved by the third author in . There, the methods developed in Burq and Zworski  to study eigenfunctions for billiards which have rectangular components were applied. Here we take an arbitrary polygonal billiard B and show that eigenfunction mass cannot concentrate away from the vertices; in other words, given any neighborhood U of the vertices, there is a lower bound, for some c=c(U)>0 and any...[Show more]
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|Source:||Communications in Partial Differential Equations|
|01_Hassell_Eigenfunction_concentration_2009.pdf||215.01 kB||Adobe PDF||Request a copy|
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