Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators
Research output: Contribution to journal › Journal article › Research › peer-review
The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(−t P) associated to 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.
Original language | English |
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Journal | Journal of Evolution Equations |
Volume | 14 |
Pages (from-to) | 49-83 |
Number of pages | 35 |
ISSN | 1424-3199 |
DOIs | |
Publication status | Published - 2014 |
ID: 95322829