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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20959

Title: Heat kernel estimates for general boundary problems
Authors: Li, Liangpan
Strohmaier, Alexander
Issue Date: 2016
Publisher: arXiv.org
Citation: LI, L. and STROHMAIER, A., Heat kernel estimates for general boundary problems. arXiv:1604.00784 [math.AP].
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 $\mathbb{R}^d$. 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 finite propagation speed estimates and explicit Fourier Tauberian theorems obtained by Y. Safarov.
Description: This is a preprint submitted to arXiv on 4th Apr 2016.
Version: Submitted for publication
URI: https://dspace.lboro.ac.uk/2134/20959
Publisher Link: https://arxiv.org/abs/1604.00784
Appears in Collections:Pre-prints (Maths)

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