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Journal of Mathematical Physics : Nonlinear scattering for a system of nonlinear Klein…Gordon equations

By Nakao Hayashi, Pavel I. Naumkin, and Ratno Bagus Edy Wibowo

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Book Id: WPLBN0002169555
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 1 October 2008

Title: Journal of Mathematical Physics : Nonlinear scattering for a system of nonlinear Klein…Gordon equations  
Author: Nakao Hayashi, Pavel I. Naumkin, and Ratno Bagus Edy Wibowo
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection, Journal of Mathematical Physics Collection
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Publication Date:
Publisher: American Institute of Physics

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Pavel I. Naumkin, And Ratno Bagus Edy Wibow, N. H. (n.d.). Journal of Mathematical Physics : Nonlinear scattering for a system of nonlinear Klein…Gordon equations. Retrieved from http://hawaiilibrary.net/


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Description: We consider the initial value problem for systems of nonlinear Klein–Gordon equations with quadratic nonlinearities. We prove the existence of scattering states, namely, the asymptotic stability of small solutions in the neighborhood of the free solutions for small initial data in the weighted Sobolev space H4,3(R3)×H3,3(R3). If nonlinearities satisfy the strong null condition, then the same result is true in two space dimensions for small initial data in H5,4(R2)×H4,4(R2). A system of massive Dirac–massless Klein–Gordon equations in three space dimensions is also considered by our method.

 

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