Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions
arXiv:1110.6885 · doi:10.1007/s00220-012-1554-4
Abstract
Let ϕ 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 {ϕ=0}.
7 pages