Global solution for a quasi-linear plate system with boundary memory damping

Qiong Zhang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)374-391
Number of pages18
JournalIMA Journal of Applied Mathematics
Volume74
Issue number3
DOIs
Publication statusPublished - 2009

Keywords

  • Boundary memory damping
  • Exponential stability
  • Global solution
  • Quasi-linear system

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