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Local convergence and speed estimates for semilinear wave systems damped by boundary friction
- Source :
- Journal of Mathematical Analysis and Applications. 462:590-600
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
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.
- Subjects :
- Applied Mathematics
media_common.quotation_subject
010102 general mathematics
Mathematical analysis
Boundary (topology)
Nonlinear boundary
Infinity
01 natural sciences
Potential energy
Boundary friction
Local convergence
010101 applied mathematics
Nonlinear system
Convergence (routing)
0101 mathematics
Analysis
media_common
Mathematics
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 462
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi...........fc77fcfd2b7bcf8d3e5462ed4321714d