Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions

Details Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions

2011-10-31

arxiv.org/abs/1110.6885v1

Mathematics

Analysis of PDEs

7 pages

Scientific paper

Let \phi\ be a Dirichlet or Neumann eigenfunction of the Laplace-Beltrami
operator on a compact Riemannian manifold with boundary. We prove lower bounds
for the size of the nodal set {\phi=0}.

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