Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity
Ruying Xue
TL;DR
This paper investigates the scattering behavior of solutions to the Klein-Gordon equation with cubic convolution nonlinearity, establishing the existence of a scattering operator using Strichartz estimates.
Contribution
It introduces a novel approach to prove scattering for Klein-Gordon equations with cubic convolution nonlinearity based on Strichartz estimates.
Findings
Existence of the scattering operator for the equation.
Application of Strichartz estimates to nonlinear Klein-Gordon.
Advancement in understanding nonlinear scattering phenomena.
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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Taxonomy
TopicsAdvanced Mathematical Physics Problems · advanced mathematical theories · Numerical methods in inverse problems