Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions
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🧮 math.AP
keywords
boundsdirichletlowerneumannnodalboundarycompacteigenfunction
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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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