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Physical Sciences and Engineering Mathematics Mathematics (General)

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

Article ID Journal Published Year Pages File Type
4664768 Acta Mathematica Scientia 2006 9 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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GEOMETRIC OPTICS FOR 3D-HARTREE-TYPE EQUATION WITH COULOMB POTENTIAL
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Acta Mathematica Scientia
Journal: Acta Mathematica Scientia
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