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Multiple Quenching Solutions of a Fourth Order Parabolic PDE with a Singular Nonlinearity Modeling a MEMS Capacitor

✍ Scribed by Lindsay, A. E.; Lega, J.


Book ID
118120217
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
891 KB
Volume
72
Category
Article
ISSN
0036-1399

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In this paper, we establish a multiple existence result of periodic solutions for a nonlinear parabolic equations with singular nonlinearity at zero. To establish our result, We use an approximating process by smooth nonlinear functions to avoid a singularity in nonlinear term. And we adapt topologi