Abstract and Applied Analysis
Volume 2006 (2006), Article ID 74264, 14 pages
doi:10.1155/AAA/2006/74264
Exact controllability for a nonlinear stochastic wave equation
Department of Mathematics, The University of British Columbia, Vancouver V6T 1Z2, BC, Canada
Received 2 July 2005; Accepted 7 September 2005
Copyright © 2006 Bui An Ton. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The exact controllability for a semilinear stochastic wave equation
with a boundary control is established. The target and initial
spaces are L2(G)×H−1(G) with G being a bounded
open subset of R3 and the nonlinear terms having at most a linear growth.