数学物理学报 ›› 2010, Vol. 30 ›› Issue (1): 197-206.

• 论文 • 上一篇    下一篇

具有局部非线性反馈的非均质Timoshenko梁的能量衰减估计

章春国, 裘哲勇   

  1. 杭州电子科技大学数学系 杭州 310018
  • 收稿日期:2008-04-09 修回日期:2009-05-27 出版日期:2010-01-01 发布日期:2010-01-01
  • 基金资助:

    国家自然科学基金(10501039, 10771048)资助.

Energy Decay Estimates for the Nonhomogeneous Timoshenko Beam with a Local Nonlinear Feedback

ZHANG Chun-Guo, QIU Zhe-Yong   

  1. Department of Mathematics, Hangzhou Dianzi |University, Hangzhou 310018
  • Received:2008-04-09 Revised:2009-05-27 Online:2010-01-01 Published:2010-01-01
  • Supported by:

    国家自然科学基金(10501039, 10771048)资助.

摘要:

该文考虑具有局部非线性反馈的非均质Timoshenko梁的能量衰减估计. 由非线性算子半群理论得到系统的适定性; 应用乘子方法, 给出了系统的能量衰减估计.

关键词: Timoshenko梁, 局部非线性反馈, 乘子法, 能量衰减估计

Abstract:

In this paper, it is considered that the energy decay estimates of the nonhomogeneous Timoshenko beam with a local nonlinear feedback.
The well-posedness of the system is proved via the nonlinear operator semigroup theory. By virtue of multiplier method, the energy decay estimates of the system is given.

Key words: Timoshenko beam, Local nonlinear feedback, Multiplier method, Energy decay estimates

中图分类号: 

  • 35B37