Mass-energy scattering criterion for double power Schrödinger equations

被引：0

作者：

Duyckaerts, Thomas ^{[1
,2
]}

Van Tin, Phan ^{[1
]}

机构：

[1] Univ Sorbonne Paris Nord, Inst Galilee, LAGA, UMR 7539, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France

[2] Ecole Normale Super, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2025年 / 32卷 / 02期

关键词：

Nonlinear Schr & ouml; dinger equations; Double power nonlinearity; Profile decomposition; Stability theory; Scattering; NONLINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; SUPERCRITICAL NLS; CAUCHY-PROBLEM; QUINTIC NLS;

D O I：

10.1007/s00030-025-01029-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear Schr & ouml;dinger equation with double power nonlinearity. We extend the scattering result in [18] for all L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L<^>2$$\end{document}-supercritical powers, specially, our results adapt to the cases of energy-supercritical nonlinearity.

引用

页数：34

共 34 条

[1] Mass concentration phenomena for the L2-critical nonlinear Schrodinger equation
Begout, Pascal
Vargas, Ana
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (11) : 5257 - 5282
[2] BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313
[3] Orbital stability vs. scattering in the cubic-quintic Schrodinger equation
Carles, Remi
Sparber, Christof
[J]. REVIEWS IN MATHEMATICAL PHYSICS, 2021, 33 (03)
[4] THE CAUCHY-PROBLEM FOR THE CRITICAL NONLINEAR SCHRODINGER-EQUATION IN HS
CAZENAVE, T
WEISSLER, FB
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (10) : 807 - 836
[5] Cazenave T., 2003, COURANT LECT NOTES M, V10
[6] Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrodinger equations
Cheng, Xing
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 2020, 64 (01) : 21 - 48
[7] Global well-posedness and scattering for the energy-critical nonlinear Schrodinger equation in R3
Colliander, J.
Keel, M.
Staffilani, G.
Takaoka, H.
Tao, T.
[J]. ANNALS OF MATHEMATICS, 2008, 167 (03) : 767 - 865
[8] The defocusing quintic NLS in four space dimensions
Dodson, Benjamin
Miao, Changxing
Murphy, Jason
Zheng, Jiqiang
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2017, 34 (03): : 759 - 787
[9] Profile decomposition and scattering for general nonlinear Schrödinger equations
Duyckaerts, Thomas
Tin, Phan Van
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 410 : 113 - 170
[10] Duyckaerts T, 2008, MATH RES LETT, V15, P1233

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