A natural lower bound for the size of nodal sets

By Hamid Hezari, Christopher D. Sogge. 2011

52 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/42eaa39b6f32b4344350234df5a29707e2699148

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Christopher D. Sogge
2. Steve Zelditch
3. Boris Hanin
4. Y. Canzani
5. Zhiqin Lu
6. Bernard Shiffman
7. Kento Fujita
8. G. Kokarev

Citations in the corpus

• Lower bounds on the Hausdorff measure of nodal sets II (2010, background): “The lower bounds of [7, 12] are based on the identity”