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arxiv: math/0611443 · v1 · submitted 2006-11-14 · 🧮 math.AP

On multilinear spectral cluster estimates for manifolds with boundary

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keywords estimatesanalogbilinearboundaryboundarylessburqcasecluster
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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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