THE SCATTERING RESONANCES FOR SCHRO\"\\DINGER-TYPE OPERATORS WITH UNBOUNDED POTENTIALS - 成果

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THE SCATTERING RESONANCES FOR SCHRO"\DINGER-TYPE OPERATORS WITH UNBOUNDED POTENTIALS

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成果类型：

期刊论文

作者：

Li, Peijun;Yao, Xiaohua;Zhao, Yue

通讯作者：

Zhao, Y

作者机构：

[Li, Peijun] Acad Math & Syst Sci, Chinese Acad Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China.

[Li, Peijun] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China.

[Zhao, Yue; Yao, Xiaohua; Zhao, Y] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.

[Zhao, Yue; Yao, Xiaohua; Zhao, Y] Cent China Normal Univ, Key Lab NAA MOE, Wuhan 430079, Peoples R China.

通讯机构：

[Zhao, Y ] C

Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.

Cent China Normal Univ, Key Lab NAA MOE, Wuhan 430079, Peoples R China.

语种：

英文

关键词：

scattering resonances;Schrodinger operator;fractional Schrodinger operator;unbounded potentials;meromorphic continuation;resolvent estimates

期刊：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

ISSN：

0036-1410

年：

2024

卷：

期：

页码：

2149-2170

DOI：

10.1137/22M1498619

基金类别：

NSFC [12001222]

机构署名：

本校为通讯机构

院系归属：

数学与统计学学院

摘要：

This paper addresses the meromorphic continuation of the outgoing resolvent associated with Schro"\dinger-type operators in three dimensions. The first part focuses on the classical Schro"\dinger-type operator involving unbounded potentials. The absence of nonzero real poles for the outgoing resolvent is investigated. The second part examines the fractional Schro"\dinger operator, including both bounded and unbounded potentials. The analysis relies on a resolvent identity that establishes a connection between the resolvents o...

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