LONG-RANGE SCATTERING FOR NONLINEAR SCHRODINGER AND HARTREE-EQUATIONS IN SPACE DIMENSION N-GREATER-THAN-OR-EQUAL-TO-2

被引：145

作者：

GINIBRE, J

OZAWA, T

机构：

[1] Laboratoire de Physique Théorique et Hautes Energies, Université de Paris Sud, Orsay, F-91405

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 151卷 / 03期

关键词：

D O I：

10.1007/BF02097031

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the scattering problem for the non-linear Schrodinger (NLS) equation with a power interaction with critical power p = 1 + 2/n in space dimensions n = 2 and 3 and for the Hartree equation with potential \x\-1 in space dimension n greater-than-or-equal-to 2. We prove the existence of modified wave operators in the L2 sense on a dense set of small and sufficiently regular asymptotic states.

引用

页码：619 / 645

页数：27

共 25 条

[1] NONEXISTENCE OF ASYMPTOTICALLY FREE SOLUTIONS FOR A NONLINEAR SCHRODINGER-EQUATION [J].