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arXiv:1409.1286 [math.AP]AbstractReferencesReviewsResources

Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions

Matthew D. Blair, Christopher D. Sogge

Published 2014-09-03Version 1

We obtain some improved essentially sharp Kakeya-Nikodym estimates for eigenfunctions in two-dimensions. We obtain these by proving stronger related microlocal estimates involving a natural decomposition of phase space that is adapted to the geodesic flow.

Comments: 17 pages, 2 figures
Categories: math.AP, math.CA, math.DG
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