The nonlinear Schrodinger equation with an inverse-square potential

被引：4

作者：

Murphy, Jason ^{[1
,2
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

来源：

NONLINEAR DISPERSIVE WAVES AND FLUIDS | 2019年 / 725卷

关键词：

SCATTERING; NLS;

D O I：

10.1090/conm/725/14560

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss recent results on the scattering/blow-up dichotomy below the ground state threshold for the focusing nonlinear Schrodinger equation with an inverse-square potential and a nonlinearity that is mass-supercritical and energy-subcritical.

引用

页码：215 / 225

页数：11

共 50 条

[1] On the instability of standing waves for the nonlinear Schrodinger equation with inverse-square potential
Van Duong Dinh
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (10) : 1699 - 1716
[2] EIGENFUNCTION EXPANSIONS FOR THE SCHRODINGER EQUATION WITH AN INVERSE-SQUARE POTENTIAL
Smirnov, A. G.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2016, 187 (02) : 762 - 781
[3] On stability and instability of standing waves for the nonlinear Schrodinger equation with an inverse-square potential
Bensouilah, Abdelwahab
Van Duong Dinh
Zhu, Shihui
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (10)
[4] Global existence and blowup for a class of the focusing nonlinear Schrodinger equation with inverse-square potential
Van Duong Dinh
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 468 (01) : 270 - 303
[5] Coupling constant dependence for the Schrodinger equation with an inverse-square potential
Smirnov, A. G.
[J]. ADVANCES IN OPERATOR THEORY, 2021, 6 (02)
[6] Scattering theory for nonlinear Schrodinger equations with inverse-square potential
Zhang, Junyong
Zheng, Jiqiang
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (08) : 2907 - 2932
[7] Focusing nonlinear Hartree equation with inverse-square potential
Chen, Yu
Lu, Jing
Meng, Fanfei
[J]. MATHEMATISCHE NACHRICHTEN, 2020, 293 (12) : 2271 - 2298
[8] The Schrodinger equation with a Coulomb plus inverse-square potential in D dimensions
Dong, SH
Sun, GH
[J]. PHYSICA SCRIPTA, 2004, 70 (2-3) : 94 - 97
[9] GLOBAL EXISTENCE AND BLOW-UP FOR THE FOCUSING INHOMOGENEOUS NONLINEAR SCHRODINGER EQUATION WITH INVERSE-SQUARE POTENTIAL
An, Jinmyong
Jang, Roesong
Kim, Jinmyong
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (02): : 1046 - 1067
[10] The energy-critical nonlinear wave equation with an inverse-square potential
Miao, Changxing
Murphy, Jason
Zheng, Jiqiang
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2020, 37 (02): : 417 - 456

← 1 2 3 4 5 →