FIRST INTEGRALS FOR NONLINEAR DISPERSIVE EQUATIONS

被引：1

作者：

Helein, Frederic ^{[1
,2
]}

机构：

[1] UMR CNRS 7586, Inst Math Jussieu Paris Rive Gauche, Paris 05, France

[2] Univ Paris Diderot, Batiment Sophie Germain,Case 7012, F-75205 Paris 13, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 368卷 / 10期

关键词：

CLASSICAL FIELD-THEORY; SCATTERING OPERATOR; RENORMALIZATION; TREES;

D O I：

10.1090/tran/6573

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a solution of a semilinear dispersive partial differential equation with a real analytic nonlinearity, we relate its Cauchy data at two different times by nonlinear representation formulas in terms of convergent series. These series are constructed by means of generating functions. All of this theory is based on a new suitable formulation of the dynamics of solutions of dispersive equations.

引用

页码：6939 / 6978

页数：40

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