Li, L and Strohmaier, A orcid.org/0000-0002-8446-3840 (2016) Heat kernel estimates for general boundary problems. Journal of Spectral Theory, 6 (4). pp. 903-919. ISSN 1664-039X
Abstract
We show that not feeling the boundary estimates for heat kernels hold for any non-negative self-adjoint extension of the Laplace operator acting on vector-valued compactly supported functions on a domain in R d Rd . They are therefore valid for any choice of boundary condition and we show that the implied constants can be chosen independent of the self-adjoint extension. The method of proof is very general and is based on fi nite propagation speed estimates and explicit Fourier Tauberian theorems obtained by Y. Safarov.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2016, EMS publishing house. This is an author produced version of a paper published in Journal of Spectral Theory. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Heat kernel, vector-valued Laplacian, finite propagation speed, spectral function, Neumann boundary problem |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Feb 2017 13:50 |
Last Modified: | 17 Jan 2018 12:13 |
Published Version: | https://doi.org/10.4171/JST/147 |
Status: | Published |
Publisher: | EMS Publishing House |
Identification Number: | 10.4171/JST/147 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111633 |