Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity

2012/04/30 by Ruying Xue, Xue, Ruying
Mathematics · #35B05 #35P25 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1204.6640

openalex publication_date 2012/04/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

The scattering problem for the Klein-Gordon equation with cubic convolution nonlinearity is considered. Based on the Strichartz estimates for the inhomogeneous Klein-Gordon equation we prove the existence of the scattering operator.

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