This is a report on recent results with A. Hassell on quantum ergodicity of boundary traces of eigenfunctions on domains with ergodic billiards, and of work in progress with Hassell and Sogge on norms of boundary traces. Related work by Burq, Grieser and Smith-Sogge is also discussed.
@article{JEDP_2003____A15_0,
author = {Zelditch, Steve},
title = {Billiards and boundary traces of eigenfunctions},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {15},
pages = {1--22},
publisher = {Universit\'e de Nantes},
year = {2003},
doi = {10.5802/jedp.629},
mrnumber = {2050601},
zbl = {02079450},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/jedp.629/}
}
Zelditch, Steve. Billiards and boundary traces of eigenfunctions. Journées équations aux dérivées partielles (2003), article no. 15, 22 p. doi : 10.5802/jedp.629. http://archive.numdam.org/articles/10.5802/jedp.629/
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