数学物理学报(英文版)

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GEOMETRIC OPTICS FOR 3D-HARTREE-TYPE EQUATION WITH COULOMB POTENTIAL

陈琼蕾; 章志飞   

  1. 北京应用物理与计算数学研究所, 北京 100088
  • 收稿日期:2004-08-15 修回日期:1900-01-01 出版日期:2006-10-20 发布日期:2006-10-20
  • 通讯作者: 章志飞

GEOMETRIC OPTICS FOR 3D-HARTREE-TYPE EQUATION WITH COULOMB POTENTIAL

Chen Qionglei; Zhang Zhifei   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2004-08-15 Revised:1900-01-01 Online:2006-10-20 Published:2006-10-20
  • Contact: Zhang Zhifei

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摘要：

This article considers a family of 3D-Hartree-type equation with Coulomb potential |x|-1, whose initial data oscillates so that a caustic appears. In the linear geometric optics case, by using the Lagrangian integrals, a uniform description of the solution outside the caustic, and near the caustic are obtained.

关键词: Hartree equation, geometric optics, Lagrangian integral

Abstract:

This article considers a family of 3D-Hartree-type equation with Coulomb potential |x|-1, whose initial data oscillates so that a caustic appears. In the linear geometric optics case, by using the Lagrangian integrals, a uniform description of the solution outside the caustic, and near the caustic are obtained.

Key words: Hartree equation, geometric optics, Lagrangian integral

中图分类号: 

  • 35Q55
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