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SCATTERING PROPERTY FOR A SYSTEM OF KLEIN-GORDON EQUATIONS WITH ENERGY BELOW GROUND STATE
  • YAN CUI,
  • BO XIA
YAN CUI
Jinan University Department of Mathematics
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BO XIA
University of Science and Technology of China School of Mathematical Sciences

Corresponding Author:xiabomath@ustc.edu.cn

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Abstract

In the previous work [6], we classified the solutions to a family of systems of Klein-Gordon equations with non-negative energy below the ground state into two parts: one blows up in finite time while the other extends to a global solution. In the present work, we strengthen this result, showing that these global solutions are indeed scattering in the energy space. Here we adapted Kenig-Merle’s concentration-compactness approach to the system.
16 Apr 2024Submitted to Mathematical Methods in the Applied Sciences
17 Apr 2024Submission Checks Completed
17 Apr 2024Assigned to Editor
24 Apr 2024Review(s) Completed, Editorial Evaluation Pending
29 Jul 2024Reviewer(s) Assigned