Energy scattering for nonlinear Klein-Gordon and Schrodinger equations in spatial dimensions 1 and 2

被引：130

作者：

Nakanishi, K ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1999年 / 169卷 / 01期

基金：

日本学术振兴会;

关键词：

D O I：

10.1006/jfan.1999.3503

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that when n = 1 and 2, the scattering operators are well-defined in the whole energy space for nonlinear Klein-Gordon and Schrodinger equations in R1 + n with nonlinearity \u\(p - 1) u, p > 1 + 4/n. Such results have been known only for (C) 1999 Academic Press.

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收藏

页码：201 / 225

页数：25

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