{"15cbaa595a6eb4993ab86ab418376c26elkepeter":{"DOI":"10.1007/s00028-016-0375-x","ISBN":"","ISSN":"1424-3199","URL":"https://doi.org/10.1007/s00028-016-0375-x","abstract":"\"Subject of consideration is the analytical investigation of a coupled system of partial differential equations arising from the modelling of electrostatically actuated microelectromechanical systems with general permittivity profile. A quasilinear parabolic evolution problem for the displacement u of an elastic membrane is coupled with an elliptic free boundary value problem that determines the electrostatic potential ψ in the region between the elastic membrane and a rigid ground plate. The system is shown to be well-posed locally in time for all arbitrarily large values λ of the applied voltage, whereas small values of the applied voltage, which do not exceed a certain critical value λ∗, do even allow globally in time existing solutions. In addition, conditions are specified which force solutions emerging from a non-positive initial deflection to stay non-positive as long as they exist.''","annote":"","author":[{"family":"Lienstromberg","given":"Christina"}],"citation-label":"MR3722055","collection-editor":[],"collection-title":"","container-author":[],"container-title":"J. Evol. Equ.","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2017"]],"literal":"2017"},"event-place":"","id":"15cbaa595a6eb4993ab86ab418376c26elkepeter","interhash":"64986724c4398d14ae2c3ea8f153a653","intrahash":"15cbaa595a6eb4993ab86ab418376c26","issue":"4","issued":{"date-parts":[["2017"]],"literal":"2017"},"keyword":"Lienstromberg IADM problem MEMS quasilinear evolution modelling","misc":{"mrclass":"35K59 (35B09 35B30 35B44 35K20 35R35 74M05)","fjournal":"Journal of Evolution Equations","mrnumber":"3722055","issn":"1424-3199","doi":"10.1007/s00028-016-0375-x"},"note":"","number":"4","number-of-pages":"21","page":"1129--1150","page-first":"1129","publisher":"","publisher-place":"","status":"","title":"Well-posedness of a quasilinear evolution problem modelling MEMS with general permittivity","type":"article-journal","username":"elkepeter","version":"","volume":"17"}}