Abstract.The Mindlin-Timoshenko model describes the elastic motion of a homogeneous and isotropic thin plate, and Ciarlet, [#!ciarlet1!#], has shown that this and other models are ``correct", first order approximations of the full, nonlinear models. We consider here the M-T model with boundary control in a variational formulation and establish the well-posedness and regularity properties of the model, in particular in the case where the spatial domain has corners. These issues are vital in the analysis of the controllability problems connected to the plate. The work is closely related to the previous work of Lions and Lagnese, [#!lagnese!#], [#!lagneselions!#], and Pedersen, [#!Pe!#], [#!nytpaper2!#].

Received: August 27, 2007

AMS Subject Classification: 74A05, 35A15

Key Words and Phrases: well posedness, Mindlin-Timoshenko plate model, regularity

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 40
Issue: 2