四川大学学报（自然科学版）2023，Vol.60Issue(6)：58-65,8.DOI:10.19907/j.0490-6756.2023.061005
具内部阻尼项的Kirchhoff板方程的长时行为
Longtime behavior of Kirchhoff plate equations with internal damping
摘要
Abstract
Longtime behavior of the Kirchhoff plate equations with locally distributed internal damping is studied.The equation is equipped with either homogeneous Dirichlet boundary conditions of zero order and second order,or Robin boundary conditions of first order and third order.Under some assumptions on the damping,it is shown that sufficiently smooth solutions of the equation decay logarithmically.关键词
Kirchhoff板方程/Carleman估计/预解式估计Key words
Kirchhoff plate equation/Carleman estimate/Resolvent estimate分类
数理科学引用本文复制引用
田佳鑫,付晓玉..具内部阻尼项的Kirchhoff板方程的长时行为[J].四川大学学报（自然科学版）,2023,60(6):58-65,8.基金项目
国家自然科学基金(11971333) （11971333）
