Scattering for the quadratic Klein-Gordon equations

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.

arXiv comment30 pages; corrected some mistakes

References in corpus (4)

• Global well-posedness and scattering for the defocusing, $L^2$-critical, nonlinear Schr{ö}dinger equation when $d=2$
• Kink dynamics in the ${\varphi }^4$ model: asymptotic stability for odd perturbations in the energy space
• Scattering for the 3D Gross-Pitaevskii equation
• Global existence without decay for quadratic Klein-Gordon equations