TY - JOUR
T1 - Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term
AU - Liu , Gongwei
AU - Lu , Yangyang
AU - Zhang , Hongwei
JO - Journal of Partial Differential Equations
VL - 3
SP - 305
EP - 320
PY - 2023
DA - 2023/08
SN - 36
DO - http://doi.org/10.4208/jpde.v36.n3.4
UR - https://global-sci.org/intro/article_detail/jpde/21890.html
KW - Plate equation, global existence, energy damping, non-exponential decay.
AB - <p style="text-align: justify;">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.</p>