Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations

被引：118

作者：

Machihara, S ^{[1
]}

Nakanishi, K

Ozawa, T

机构：

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

[2] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan

来源：

MATHEMATISCHE ANNALEN | 2002年 / 322卷 / 03期

关键词：

D O I：

10.1007/s002080200008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the nonrelativistic limit of the Cauchy problem for the nonlinear Klein-Gordon equation and prove that any finite energy solution converges to the corresponding solution of the nonlinear Schrodinger equation in the energy space, after the infinite oscillation in time is removed. We also derive the optimal rate of convergence in L-2.

引用

页码：603 / 621

页数：19

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