Higher-order Kato class potentials for Schrodinger operators

被引：25

作者：

Zheng, Quan ^{[1
]}

Yao, Xiaohua ^{[2
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

[2] Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2009年 / 41卷

基金：

美国国家科学基金会;

关键词：

ABSORPTION SEMIGROUPS; EQUATIONS; SPECTRUM;

D O I：

10.1112/blms/bdn125

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with characterizations and approximation properties of higher-order Kato class K(alpha)(R(n)) introduced by Davies and Hinz, as well as the applications to higher-order Schrodinger operators with such potentials.

引用

页码：293 / 301

页数：9

共 50 条

[41] Semiclassical solutions for a class of Schrodinger system with magnetic potentials
Zhang, Jian
Tang, Xianhua
Zhang, Wen
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 414 (01) : 357 - 371
[42] Hybrid structures of the rogue waves and breather-like waves for the higher-order coupled nonlinear Schrodinger equations
Zhang, Xi
Wang, Yu-Feng
Yang, Sheng-Xiong
CHAOS SOLITONS & FRACTALS, 2024, 180
[43] On a Class of Higher-Order Fully Decoupled Schemes for the Cahn-Hilliard-Navier-Stokes System
Li, Xiaoli
Liu, Zhengguang
Shen, Jie
Zheng, Nan
JOURNAL OF SCIENTIFIC COMPUTING, 2025, 103 (01)
[44] Asymptotics of the Weyl function for Schrodinger operators with measure-valued potentials
Luger, Annemarie
Teschl, Gerald
Woehrer, Tobias
MONATSHEFTE FUR MATHEMATIK, 2016, 179 (04): : 603 - 613
[45] Resolvent estimates for one-dimensional Schrodinger operators with complex potentials
Arnal, Antonio
Siegl, Petr
JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 284 (09)
[46] Vector bright soliton behaviors of the coupled higher-order nonlinear Schrodinger system in the birefringent or two-mode fiber
Liu, Lei
Tian, Bo
Xie, Xi-Yang
Guan, Yue-Yang
CHAOS, 2017, 27 (01)
[47] A higher-order porous thermoelastic problem with microtemperatures
Fernandez, J. R.
Quintanilla, R.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2023, 44 (11) : 1911 - 1926
[48] PERTURBATIVE HAMILTONIAN CONSTRAINTS FOR HIGHER-ORDER THEORIES
Martinez, S. A.
Montemayor, R.
Urrutia, L. F.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2011, 26 (26): : 4661 - 4686
[49] Higher-order fractional Green and Gauss formulas
Cheng, Jinfa
Dai, Weizhong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (01) : 157 - 171
[50] Invariant Higher-Order Variational Problems II
Gay-Balmaz, Francois
Holm, Darryl D.
Meier, David M.
Ratiu, Tudor S.
Vialard, Francois-Xavier
JOURNAL OF NONLINEAR SCIENCE, 2012, 22 (04) : 553 - 597

← 1 2 3 4 5 →