@inbook{3d2379544aca4972b92533bc53631b08,
title = "Scattering problem for quadratic nonlinear Klein–Gordon equation in 2D",
abstract = "We consider the scattering problem for the two-dimensional nonlinear Klein–Gordon equation with a quadratic nonlinearity. In this paper we find more natural conditions for the initial data than those of previous works to ensure the existence of scattering states.",
keywords = "Nonlinear Klein–Gordon equation, Quadratic nonlinearity, Scattering operator, Two space dimensions",
author = "Nakao Hayashi and Naumkin, {Pavel I.}",
note = "Funding Information: Acknowledgements The authors would like to thank the referee for letting us know a preprint [1] by Georgiev and Stefanov in which global existence of small solutions is shown in almost energy space. The work of P.I.N. is partially supported by CONACYT and PAPIIT. Publisher Copyright: {\textcopyright} 2013, Springer Science+Business Media New York.",
year = "2013",
doi = "10.1007/978-1-4614-6348-1_8",
language = "English",
series = "Progress in Nonlinear Differential Equations and Their Application",
publisher = "Springer US",
pages = "147--158",
booktitle = "Progress in Nonlinear Differential Equations and Their Application",
}