A natural lower bound for the size of nodal sets

Details A natural lower bound for the size of nodal sets A natural lower bound for the size of nodal sets

2011-07-18

arxiv.org/abs/1107.3440v3

Mathematics

Analysis of PDEs

To appear in Analysis and Partial Differential Equations

Scientific paper

We prove a natural inequality which implies the known lower bounds for the
$(n-1)$-dimensional Hausdorff measure of nodal sets for smooth compact
manifolds.

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