TY - JOUR
T1 - Local convergence and speed estimates for semilinear wave systems damped by boundary friction
AU - Jiao, Zhe
AU - Xu, Yong
N1 - Publisher Copyright:
© 2018 Elsevier Inc.
PY - 2018/6/1
Y1 - 2018/6/1
N2 - We study the local convergence to equilibria, as time goes to infinity, of trajectories of semilinear wave systems with friction damping on the boundary and subject to nonlinear potential energy. Estimates for the speed of convergence are obtained in terms of the behavior of the nonlinear feedback close to the origin. As an example of application, we show that the trajectories of a sine-Gordon system with nonlinear boundary damping, approach equilibria at least polynomially.
AB - We study the local convergence to equilibria, as time goes to infinity, of trajectories of semilinear wave systems with friction damping on the boundary and subject to nonlinear potential energy. Estimates for the speed of convergence are obtained in terms of the behavior of the nonlinear feedback close to the origin. As an example of application, we show that the trajectories of a sine-Gordon system with nonlinear boundary damping, approach equilibria at least polynomially.
KW - Convergence to equilibria
KW - Dissipative boundary condition
KW - Semilinear wave equations
UR - http://www.scopus.com/inward/record.url?scp=85044872544&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2018.02.038
DO - 10.1016/j.jmaa.2018.02.038
M3 - 文章
AN - SCOPUS:85044872544
SN - 0022-247X
VL - 462
SP - 590
EP - 600
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -