Behavior of the energy for Lame systems in bounded domains with nonlinear damping and external force

Electronic Journal of Differential Equations

关键词: Lame system;    nonlinear damping;    bounded domain;    external force;   

DOI  :  

来源: DOAJ

【 摘 要 】

We study behavior of the energy for solutions to a Lame systemon a bounded domain, with localized nonlinear damping and external force.The equation is set up in three dimensions and under a microlocalgeometric condition. More precisely, we prove that the behaviorof the energy is determined by a solution to a forced differentialequation, an it depends on the L^2 norm of the force.

【 授权许可】

Unknown