Acta mathematica scientia, Series B >
GEOMETRIC OPTICS FOR 3D-HARTREE-TYPE EQUATION WITH COULOMB POTENTIAL
Received date: 2004-08-15
Revised date: 1900-01-01
Online published: 2006-10-20
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
Chen Qionglei , Zhang Zhifei . GEOMETRIC OPTICS FOR 3D-HARTREE-TYPE EQUATION WITH COULOMB POTENTIAL[J]. Acta mathematica scientia, Series B, 2006 , 26(4) : 646 -654 . DOI: 10.1016/S0252-9602(06)60091-X
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