Daniele Cassani et al 2009 Inverse Problems 25 105002 doi:10.1088/0266-5611/25/10/105002
Daniele Cassani1, Barbara Kaltenbacher2 and Alfredo Lorenzi1
Show affiliationsThis paper deals with direct and inverse evolution problems which come up in studying micro-electro-mechanical-systems: here we consider a nonlinear and nonlocal MEMS model. The inverse problem consists of recovering a time-varying Coulomb potential by exploiting some accessible measurements, which depend on the dynamic displacement of the system. Local existence, uniqueness and continuous dependence results are proved for both direct and inverse problems.
85.85.+j Micro- and nano-electromechanical systems (MEMS/NEMS) and devices
02.60.Nm Integral and integrodifferential equations
02.60.Lj Ordinary and partial differential equations; boundary value problems
45K05 Integro-partial differential equations (See also 34K30, 35R10, 47G20)
35R30 Inverse problems (undetermined coefficients, etc.) for PDE
Issue 10 (October 2009)
Received 23 April 2009, in final form 19 June 2009
Published 16 September 2009
Daniele Cassani et al 2009 Inverse Problems 25 105002
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