Advanced Search
Article Contents
Article Contents

Uniform stabilization of an electromagnetic-elasticity problem in exterior domains

Abstract Related Papers Cited by
  • A coupled system of dynamic hyperbolic equations in electroma- gnetic-elasticity theory in the exterior of an open bounded obstacle $\mathcal{O}$ in 3-D is considered. In the presence of dissipative effects we obtain uniform decay rates of the solution as $t \rightarrow +\infty$. We do not require geometric assumptions on the obstacle or extra assumptions on the initial data. We apply our results to study the above system with a nonlinear perturbation, showing that the solutions hold the same rate of decay provided the initial data is "small" in a suitable sense. Previous results of this type have recently been obtained for the scalar wave equation by M. Nakao [18, 19] and R. Ikehata [8].
    Mathematics Subject Classification: Primary: 35Q99, 35Q60; Secondary: 35L99.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(78) Cited by(0)

Access History



    DownLoad:  Full-Size Img  PowerPoint