ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A SYSTEM OF SCHRODINGER EQUATIONS

被引：0

作者：

Carvajal, Xavier ^{[1
]}

Gamboa, Pedro ^{[1
]}

Necasova, Sarka ^{[2
]}

Huy Hoang Nguyen ^{[1
,3
,4
]}

Vera, Octavio ^{[5
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro, Brazil

[2] Acad Sci, Math Inst, Zitna 25, Prague 11567 1, Czech Republic

[3] Univ Fed Rio de Janeiro, Polo Xerem, Rio De Janeiro, Brazil

[4] CNRS, UMR 5142, LMAP, Lab Math & Applicat, Bat IPRA,Ave Univ, F-64013 Pau, France

[5] Univ Bio Bio, Ave Colla 1202,Casilla 5-C, Concepcion, Chile

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Coupled Schrodinger system; energy conservation; global solution; growth of solutions; blow-up; well-posedness; CAUCHY-PROBLEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the behaviour of solutions to a coupled system of Schrodinger equations that has applications in many physical problems, especially in nonlinear optics. In particular, when the solution exists globally, we obtain the growth of the solutions in the energy space. Finally, some conditions are also obtained for having blow-up in this space.

引用

页数：23

共 50 条

[1] Asymptotic behavior for solutions to the vector nonlinear Schrodinger equations
Hoshino, Gaku
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 529 (01)
[2] Asymptotic behavior of solutions for Schrodinger equations with dissipative nonlinearities
Shimomura, Akihiro
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, 31 (09) : 1407 - 1423
[3] Asymptotic behavior of multiple solutions for quasilinear Schrodinger equations
Zhang, Xian
Huang, Chen
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (64) : 1 - 28
[4] GLOBAL ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO QUASILINEAR SCHRODINGER EQUATIONS
Zhang, Lin
Song, Xianfa
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[5] ASYMPTOTIC-BEHAVIOR OF THE SOLUTIONS OF A NONLINEAR-SYSTEM OF SCHRODINGER-EQUATIONS
SIQUEIRA, ESP
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (10) : 1231 - 1243
[6] Asymptotic behavior of solutions to Schrodinger equations with a subcritical dissipative nonlinearity
Kita, Naoyasu
Shimomura, Akihiro
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 242 (01) : 192 - 210
[7] Asymptotic behavior of standing wave solutions of nonlinear Schrodinger equations
Itoh, T
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (01) : 693 - 696
[8] Sharp asymptotic behavior of solutions for cubic nonlinear Schrodinger equations with a potential
Naumkin, I. P.
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (05)
[9] Existence and Asymptotic Behavior of Positive Solutions for a Class of Quasilinear Schrodinger Equations
Wang, Youjun
Shen, Yaotian
ADVANCED NONLINEAR STUDIES, 2018, 18 (01) : 131 - 150
[10] Sharp asymptotic behavior of solutions to nonlinear Schrodinger equations with repulsive interactions
Kita, N
Ozawa, T
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2005, 7 (02) : 167 - 176

← 1 2 3 4 5 →