Geometric optics for one-dimensional Schrodinger-Poisson system

被引：0

作者：

Zhifei Zhang ^{[1
]}

Qionglei Chen

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2006年 / 27卷 / 03期

关键词：

Schrodinger-Poisson; geometric optics; Lagrangian integral;

D O I：

10.1007/s11401-004-0074-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers a family of Schrodinger-Poisson system in one dimension, whose initial data oscillates so that a caustic appears. By using the Lagrangian integrals, the authors obtain a uniform description of the solution outside the caustic, and near the caustic.

引用

页码：353 / 362

页数：10

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