Year: 2023
Author: Gongwei Liu, Yangyang Lü, Hongwei Zhang
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 3 : pp. 305–320
Abstract
In this paper, we mainly investigate the initial boundary value problem for a plate equation with non-local degenerate energy damping term and source term. By using potential well and Nakao’s inequality, we establish the global existence and the energy decay rate when the initial data is starting in the stable set. Finally, we derive some further estimate on the stability.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v36.n3.4
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 3 : pp. 305–320
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Plate equation global existence energy damping non-exponential decay.