IJPAM: Volume 40, No. 3 (2007)

THE FUNCTIONAL ANALYTIC SETTING OF HUM
PART II: THE MINDLIN-TIMOSHENKO PLATE MODEL

Michael Pedersen
Department of Mathematics
Technical University of Denmark
Kgs. Lyngby, DK 2800, DENMARK
e-mail: [email protected]


Abstract.The question of controllability for partial differential evolution equations of hyperbolic and parabolic nature has been studied intensively over the last decade, motivated and inspired by numerous applications in science and technology. In the first part of this paper, see [#!nytpaper1!#], we introduced the functional analytic setting of HUM - The Hilbert Uniqueness Method - due to J.L. Lions. In Part II we will now apply the functional analytic methods to control the full Mindlin-Timoshenko plate system from the boundary.

Received: August 25, 2007

AMS Subject Classification: 35B37, 35L35

Key Words and Phrases: controllability, partial differential evolution equations, Hilbert Uniqueness Method, Mindlin-Timoshenko plate system

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 40
Issue: 3