On multilinear spectral cluster estimates for manifolds with boundary

Abstract

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, Gérard, and Tzvetkov.

8 pages

References in corpus (1)

• Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds