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}
}
  • Hamid Hezari, Zuoqin Wang
  • 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.