The Volume of a Local Nodal Domain

Details The Volume of a Local Nodal Domain The Volume of a Local Nodal Domain

2008-06-20

arxiv.org/abs/0806.3327v5

J. Topol. Anal. 2 (2010), no. 2, 259--275

Mathematics

Spectral Theory

21 pages; introduction improved putting the problem in a larger context.

Scientific paper

10.1142/S1793525310000306

Let M either be a closed real analytic Riemannian manifold or a closed smooth
Riemannian surface. We estimate from below the volume of a nodal domain
component in an arbitrary ball provided that this component enters the ball
deeply enough.

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