Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds
Spectral Theory
2012-05-29 v1 Analysis of PDEs
Complex Variables
Abstract
We prove heat kernel estimates for the -Neumann Laplacian acting in spaces of differential forms over noncompact, strongly pseudoconvex complex manifolds with a Lie group symmetry and compact quotient. We also relate our results to those for an associated Laplace-Beltrami operator on functions.
Cite
@article{arxiv.1009.4900,
title = {Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds},
author = {Joe J. Perez and Peter Stollmann},
journal= {arXiv preprint arXiv:1009.4900},
year = {2012}
}
Comments
22 pages