Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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 ∈ C+ are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup.
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 ∈ C+ are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Evolution Equations |
Vol/bind | 14 |
Sider (fra-til) | 49-83 |
Antal sider | 35 |
ISSN | 1424-3199 |
DOI | |
Status | Udgivet - 2014 |
ID: 95322829