Year: 2020
Author: Ze Li, Lifeng Zhao
Journal of Mathematical Study, Vol. 53 (2020), Iss. 3 : pp. 329–352
Abstract
In this paper, we prove that if the solution to the damped focusing Klein-Gordon equations is global forward in time with bounded trajectory, then it will decouple into the superposition of divergent equilibriums. The core ingredient of our proof is the existence of the "concentration-compact attractor” introduced by Tao which yields a finite number of asymptotic profiles. Using the damping effect, we can prove all the profiles are equilibrium points.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v53n3.20.06
Journal of Mathematical Study, Vol. 53 (2020), Iss. 3 : pp. 329–352
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Nonlinear Klein-Gordon equations damping soliton resolution global attractor.