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.
@incollection{JEDP_2003____A15_0,
author = {Steve Zelditch},
title = {Billiards and boundary traces of eigenfunctions},
booktitle = {},
series = {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},
zbl = {02079450},
mrnumber = {2050601},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.629/}
}
TY - JOUR AU - Steve Zelditch TI - Billiards and boundary traces of eigenfunctions JO - Journées équations aux dérivées partielles PY - 2003 SP - 1 EP - 22 PB - Université de Nantes UR - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.629/ DO - 10.5802/jedp.629 LA - en ID - JEDP_2003____A15_0 ER -
Steve Zelditch. Billiards and boundary traces of eigenfunctions. Journées équations aux dérivées partielles (2003), article no. 15, 22 p. doi : 10.5802/jedp.629. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.629/
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