We study the initial boundary value problem for the damped hyperbolic
equation arising in the micro-electro mechanical system device with
local or nonlocal singular nonlinearity. For both cases, we provide some criteria
for quenching and global existence of the solution. We also derive the
existence of the quenching curve for the corresponding Cauchy problem with
local source
Relation:
Discrete and Continuous Dynamical Systems Series B 19(2), pp.419-434
