GLOBAL-SOLUTIONS AND STABLE GROUND-STATES OF NONLINEAR SCHRODINGER-EQUATIONS

被引：6

作者：

STUBBE, J

机构：

[1] Département de Physique Théorique, Université de Genève, CH-1211 Genève, 24, quai Ernest-Ansermet

来源：

PHYSICA D | 1991年 / 48卷 / 2-3期

关键词：

D O I：

10.1016/0167-2789(91)90087-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

I present a new method to obtain sufficient conditions for the global existence of solutions of nonlinear Schrodinger equations with focusing nonlinearities. It turns out that the regime of global solutions is essentially determined by the ground state solutions of these equations. In particular, I can show that the orbital stability of certain ground states implies the global existence of all solutions. Furthermore sharp conditions for the global existence of sufficiently small solutions are derived.

引用

页码：259 / 272

页数：14

共 41 条

[1]

BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313

[2]

BERESTYCKI H, 1981, CR ACAD SCI I-MATH, V293, P489

[3]

BIALYNICKIBIRUL.I, 1976, ANN PHYS-NEW YORK, V100, P62

[4]

BLANCHARD P, 1989, LECT NOTES PHYS, V347, P19