Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899889 | Journal of Mathematical Analysis and Applications | 2018 | 16 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zhe Jiao, Yong Xu,