Scattering for the quadratic Klein–Gordon equations

Scattering for the quadratic Klein–Gordon equations

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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Veröffentlicht in:Nonlinear differential equations and applications 2020-06, Vol.27 (3), Article 31
Hauptverfasser: Guo, Zihua, Shen, Jia
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Scattering
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Zusammenfassung: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.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-020-00635-x