Dispersive estimates and the 2D cubic NLS equation

被引：24

作者：

Planchon, F ^{[1
]}

机构：

[1] Univ Paris 06, URA 189, CNRS, Lab Anal Numerique, F-75252 Paris, France

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2002年 / 86卷 / 1期

关键词：

D O I：

10.1007/BF02786654

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the initial value problem for the 2D cubic semi-linear Schrodinger equation is well-posed in the Besov space B(over dot)(2)(0,infinity)(R-2). For this, we rely on some new dispersive inequalities derived from bilinear restriction theorems.

引用

页码：319 / 334

页数：16

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