Neumann spectral cluster estimates outside convex obstacles
Analysis of PDEs
2010-11-01 v2
Abstract
This paper concerns spectral clusters of the Neumann Laplacian on compact Riemannian manifolds with strictly geodesically concave boundary. We prove an inequality which controls the norms of spectral clusters.
Cite
@article{arxiv.1007.0230,
title = {Neumann spectral cluster estimates outside convex obstacles},
author = {Sinan Ariturk},
journal= {arXiv preprint arXiv:1007.0230},
year = {2010}
}
Comments
This paper has been withdrawn by the author due to a significant error