On multilinear spectral cluster estimates for manifolds with boundary
Analysis of PDEs
2007-05-23 v1
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, G\'erard, and Tzvetkov.
Cite
@article{arxiv.math/0611443,
title = {On multilinear spectral cluster estimates for manifolds with boundary},
author = {Matthew D. Blair and Hart F. Smith and Christopher D. Sogge},
journal= {arXiv preprint arXiv:math/0611443},
year = {2007}
}
Comments
8 pages