Exact controllability of semilinear plate equations

Article type: Research Article

Authors: Zhang, Xu

Affiliations: Institute of Mathematics, Fudan University, Shanghai 200433, PR China E‐mail: xuzhang@fudan.edu

Note: [] Present address: School of Mathematics, Sichuan University, Chengdu 610064, PR China.

Abstract: In this paper, we obtain the exact controllability for a class of semilinear plate equations under a superlinear growth assumption on the nonlinearity. For this purpose, we need an explicit observability estimate for the linear plate equation with a potential, which is derived by means of Carleman estimates together with the usual energy estimate.

Keywords: controllability, observability, Carleman estimate, energy estimate, semilinear plate equation

Journal: Asymptotic Analysis, vol. 27, no. 2, pp. 95-125, 2001