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REGULARITY OF THE ATTRACTOR FOR A COUPLED NONLINEAR KLEIN-GORDON-SCHRODINGER SYSETEM IN ¨ R^3
  • Salah Missaoui
Salah Missaoui
FSM
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Peer review status:UNDER REVIEW

22 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
27 Jun 2020Assigned to Editor
27 Jun 2020Submission Checks Completed
30 Jun 2020Reviewer(s) Assigned

Abstract

The main goal of this paper is to study the asymptotic behavior of a coupled Klein-Gordon-Schr¨odinger system in three dimensional unbounded domain. We prove the existence of a global attractor of the systems of the nonlinear Klein-Gordon-Schr¨odinger (KGS) equations in H1(R3) × H1(R3) ×L2(R3) and more particularly that this attractor is in fact a compact set of H^2(R^3) × H^2(R^3) × H1(R^3).