TY - JOUR
T1 - General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping
AU - Li , Donghao
AU - Zhang , Hongwei
AU - Hu , Qingying
JO - Journal of Partial Differential Equations
VL - 4
SP - 369
EP - 380
PY - 2020
DA - 2020/01
SN - 32
DO - http://doi.org/10.4208/jpde.v32.n4.6
UR - https://global-sci.org/intro/article_detail/jpde/13615.html
KW - Wave equation
KW - general decay
KW - nonlocal damping
KW - boundary damping.
AB - <p>In this paper, we consider a nonlinear wave equation with nonlocal damping and nonlinear boundary damping. We prove a general energy decay property for
solutions in terms of coefficient of the frictional boundary damping by using of the
multiplier technique from the idea of Martinez [1]. Our result extends and improves
the result in the literature such as the work by Lourêdo, Ferreira de Araújo and Mirandain [2] in which only exponential energy decay is considered. Furthermore, we
get also the energy decay for the equation with nonlocal damping only but without
nonlinear boundary damping.</p>