Propagation and reflection of singularities for the nonlinear Schrodinger equation

被引：6

作者：

Szeftel, J ^{[1
]}

机构：

[1] Univ Paris 13, LAGA UMR 7539, Inst Galilee, F-93430 Villetaneuse, France

来源：

ANNALES DE L INSTITUT FOURIER | 2005年 / 55卷 / 02期

关键词：

D O I：

10.5802/aif.2108

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a paradifferential calculus well-suited to the Schrodinger equation which allows us to prove a result on propagation of singularities for the nonlinear Schrodinger equation by adapting Bony's method. We also construct the tangential version of the previous paradifferential calculus which allows us to prove a result on reflection of singularities for the nonlinear Schrodinger equation. We then use this result to compute the Dirichlet to Neumann map of the nonlinear Schrodinger equation.

引用

页码：573 / +

页数：101

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