On multilinear spectral cluster estimates for manifolds with boundary

Details On multilinear spectral cluster estimates for manifolds with boundary On multilinear spectral cluster estimates for manifolds with boundary

2006-11-14

arxiv.org/abs/math/0611443v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

We prove sharp bilinear estimates for Dirichlet or Neumann eigenfunctions in
domains in the plane. These are the natural analog of earlier estimates for the
boundaryless case of Burq, G\'erard, and Tzvetkov.

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