The initial value problem for the cubic nonlinear Klein-Gordon equation

被引：79

作者：

Hayashi, Nakao ^{[1
]}

Naumkin, Pavel I. ^{[2
]}

机构：

[1] Osaka Univ, Dept Math, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan

[2] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2008年 / 59卷 / 06期

关键词：

35Q53; 35Q55; Asymptotics of solutions; Cubic nonlinear Klein-Gordon equation; Initial value problem; The inverse wave modified operator;

D O I：

10.1007/s00033-007-7008-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the initial value problem for the cubic nonlinear Klein-Gordon equation mu similar to R and the initial data are real-valued functions. We obtain a sharp asymptotic behavior of small solutions without the condition of a compact support on the initial data which was assumed in the previous works.

引用

页码：1002 / 1028

页数：27

共 28 条

[1] ON SPACE-TIME MEANS AND EVERYWHERE DEFINED SCATTERING OPERATORS FOR NONLINEAR KLEIN-GORDON EQUATIONS [J].