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arXiv:1107.0092 [math.AP]AbstractReferencesReviewsResources

Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch

Hamid Hezari, Zuoqin Wang

Published 2011-07-01, updated 2011-07-13Version 2

We use the Dong-Sogge-Zelditch formula to obtain a lower bound for the volume of the nodal sets of eigenfunctions. Our result improves the recent results of Sogge-Zelditch and in dimensions n \leq 5 gives a new proof for the lower bounds of Colding-Minicozzi.

Comments: This is a revised version which improves the result of the earlier version
Categories: math.AP, math.DG, math.SP
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