Review paper
The heat trace for the drifting Laplacian and Schrödinger operators on manifolds
Abstract
We study the heat trace for both the drifting Laplacian as well as Schr\"odinger operators on compact Riemannian manifolds. In the case of a finite regularity potential or weight function, we prove the existence of a partial (six term) asymptotic expansion of the heat trace for small times as well as a suitable remainder estimate. We also demonstrate that the more precise asymptotic behavior of the remainder is determined by and conversely...
Paper Details
Title
The heat trace for the drifting Laplacian and Schrödinger operators on manifolds
Published Date
Jan 1, 2019
Journal
Volume
23
Issue
4
Pages
539 - 560
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