On A Parabolic Equation in MEMS with An External Pressure

Lingfeng Zhang, Xiaoliu Wang

The parabolic problem $u_t-\Delta u=\frac{\lambda f(x)}{(1-u{)}^2}+P$ on a bounded domain $\Omega$ of $R^n$ with Dirichlet boundary condition models the microelectromechanical systems(MEMS) device wit…