Open Access
VOL. 64 | 2015 Quadratic nonlinear Klein–Gordon equation in 2d, Cauchy problem
Nakao Hayashi, Pavel I. Naumkin

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Adv. Stud. Pure Math., 2015: 89-100 (2015) DOI: 10.2969/aspm/06410089

Abstract

We consider the Cauchy problem for the two dimensional nonlinear Klein–Gordon equation with a quadratic nonlinearity. In the present paper we find more natural conditions for the initial data than those of previous works to ensure the existence of scattering states.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35233
MathSciNet: MR3381194

Digital Object Identifier: 10.2969/aspm/06410089

Subjects:
Primary: 35Q55

Keywords: Cauchy problem , Nonlinear Klein–Gordon , scattering problem

Rights: Copyright © 2015 Mathematical Society of Japan

PROCEEDINGS ARTICLE
12 PAGES


Back to Top