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

@article{Hezari2011LowerBF,
title={Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch},
author={Hamid Hezari and Zuoqin Wang},
journal={arXiv: Analysis of PDEs},
year={2011}
}
• Published 2011
• Mathematics
• arXiv: Analysis of PDEs
• 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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