caa a22 4500 606194126 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00030-014-0298-6 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0298-6 Wang Qi Department of Mathematics, Tongji University, 200092, Shanghai, China aut Dynamical solutions of singular parabolic equations modeling electrostatic MEMS [Elektronische Daten] [Qi Wang] We study the electrostatic MEMS-device parabolic equation, $${u_{t} - \Delta u = \frac{\lambda_{\rho}(x)}{(1 - u)^{2}}}$$ u t - Δ u = λ ρ ( x ) ( 1 - u ) 2 with Dirichlet boundary condition and a bounded domain $${\Omega}$$ Ω of $${\mathbb{R}^{N}}$$ R N . Here $${\lambda}$$ λ is positive parameter and $${\rho}$$ ρ is a nonnegative continuous function. In this paper, we investigate the behavior of solutions for this problem. In particular, we show small initial value yields quenching behavior of the solutions. While large initial data leads global existence of the solutions. Springer Basel, 2014 MEMS equation nationallicence Quench nationallicence Globally bounded nationallicence Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 629-650 1021-9722 22:4<629 2015 22 30 https://doi.org/10.1007/s00030-014-0298-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0298-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wang Qi Department of Mathematics, Tongji University, 200092, Shanghai, China aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 629-650 1021-9722 22:4<629 2015 22 30