Abstract
In this work, we consider a quasi-linear plate model with boundary memory damping. We prove that this system has a unique global solution when the initial data are small enough and the non-linear coefficient function, the memory damping as well as the geometry of the domain satisfy suitable assumptions. We also prove the exponential decay of the energy of the system.
Original language | English |
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Pages (from-to) | 374-391 |
Number of pages | 18 |
Journal | IMA Journal of Applied Mathematics |
Volume | 74 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2009 |
Keywords
- Boundary memory damping
- Exponential stability
- Global solution
- Quasi-linear system