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

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