Scattering for the quadratic Klein-Gordon equations
Zihua Guo, Jia Shen
TL;DR
This paper investigates the scattering behavior of solutions to quadratic Klein-Gordon equations with radial initial data, establishing results for both small and large data in different dimensions.
Contribution
It provides the first proof of small data scattering in 3D and large data scattering below the ground state in 4D for quadratic Klein-Gordon equations.
Findings
Small data scattering in 3D
Large data scattering below ground state in 4D
Radial initial data in the energy space
Abstract
We study the scattering problems for the quadratic Klein-Gordon equations with radial initial data in the energy space. For 3D, we prove small data scattering, and for 4D, we prove large data scattering with mass below the ground state.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics