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Title: Blowup results for the KGS system with higher order Yukawa coupling

In this paper, we investigate the Klein-Gordon-Schrödinger (KGS) system with higher order Yukawa coupling in spatial dimensions N ≥ 3. We establish a perturbed virial type identity and prove blowup results relied on Lyapunov functionals for KGS system with a negative energy level. Additionally, we give a result with respect to the blowup rate in finite time for the radial solution in 3 spatial dimensions.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050 (China)
  2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000 (China)
  3. College of Applied Sciences, Beijing University of Technology, Beijing 100124 (China)
Publication Date:
OSTI Identifier:
22479537
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 10; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENERGY LEVELS; FUNCTIONALS; KLEIN-GORDON EQUATION; LYAPUNOV METHOD; MATHEMATICAL SOLUTIONS; YUKAWA POTENTIAL