Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch
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 ≤ 5 gives a new proof for the lower bounds of Colding-Minicozzi.
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