Abstract
Well-posedness of a free boundary problem for electrostatic microelectromechanical systems (MEMS) is investigated when nonlinear bending effects are taken into account. The model describes the evolution of the deflection of an electrically conductive elastic plate suspended above a fixed ground plate together with the electrostatic potential in the free domain between the two plates. The electrostatic potential is harmonic in that domain and its values are held fixed along each plate. The equation for the elastic plate deflection is a parabolic quasilinear fourth-order equation, which is coupled to the gradient trace of the electrostatic potential on the elastic plate.
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