Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators

Heat kernel estimates for pseudodifferential operators, fractional Laplacians and... The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(− t P ) associated with a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The Poissonian bounds generalize those obtained for perturbations of fractional powers of the Laplacian. In the selfadjoint case, extensions to $${t \in{\mathbb C}_+}$$ t ∈ C + are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators

Loading next page...
 
/lp/springer-journals/heat-kernel-estimates-for-pseudodifferential-operators-fractional-O6Vd3bq6kr

References (14)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-013-0206-2
Publisher site
See Article on Publisher Site

Abstract

The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(− t P ) associated with a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The Poissonian bounds generalize those obtained for perturbations of fractional powers of the Laplacian. In the selfadjoint case, extensions to $${t \in{\mathbb C}_+}$$ t ∈ C + are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Mar 1, 2014

There are no references for this article.