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arXiv · 1107.0092

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

Hamid Hezari·Zuoqin Wang
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Abstract

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.

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Hamid Hezari, Zuoqin Wang. 2011-07-13. Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch. https://arxiv.org/abs/1107.0092

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