Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS

Nassif Ghoussoub, Yujin Guo

The singular parabolic problem $u_t=\Delta u-\frac{\lambda f(x)}{(1+u{)}^2}$ on a bounded domain $\Omega$ of $R^N$ with Dirichlet boundary conditions, models the dynamic deflection of an elastic memb…