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
收藏
页码：573 / +
页数：101
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