Improved heat kernel bounds for certain magnetic Schrödinger operators

The Anh Bui; Fu Ken Ly

doi:10.1090/proc/14845

Improved heat kernel bounds for certain magnetic Schrödinger operators

The Anh Bui, Fu Ken Ly

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We obtain an improved heat kernel bound for certain magnetic Schrödinger operators. The proof utilises an improved Fefferman–Phong inequality for magnetic operators and subsolution estimates for the corresponding parabolic equations.

Original language	English
Pages (from-to)	1671-1677
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	4
DOIs	https://doi.org/10.1090/proc/14845
Publication status	Published - Apr 2020

Keywords

Heat kernel
magnetic Schrödinger operator

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10.1090/proc/14845

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title = "Improved heat kernel bounds for certain magnetic Schr{\"o}dinger operators",

abstract = "We obtain an improved heat kernel bound for certain magnetic Schr{\"o}dinger operators. The proof utilises an improved Fefferman–Phong inequality for magnetic operators and subsolution estimates for the corresponding parabolic equations.",

keywords = "Heat kernel, magnetic Schr{\"o}dinger operator",

author = "Bui, {The Anh} and Ly, {Fu Ken}",

year = "2020",

month = apr,

doi = "10.1090/proc/14845",

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AU - Ly, Fu Ken

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AB - We obtain an improved heat kernel bound for certain magnetic Schrödinger operators. The proof utilises an improved Fefferman–Phong inequality for magnetic operators and subsolution estimates for the corresponding parabolic equations.

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KW - magnetic Schrödinger operator

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JF - Proceedings of the American Mathematical Society

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Improved heat kernel bounds for certain magnetic Schrödinger operators

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Keywords

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