The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- The Journal of the Australian Mathematical Society. Series B. Applied Mathematics / Volume 41 / Issue 04 / April 2000, pp 542-567
- Copyright © Australian Mathematical Society 2000
- DOI: http://dx.doi.org/10.1017/S0334270000011814 (About DOI), Published online: 17 February 2009
Research Article
Necessary conditions for optimal control of elliptic systems
Hang Gaoa1 and Xunjing Lia2
a1 Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China.
a2 Department of Mathematics, Fudan University, Shanghai 200433, P. R. China.
Abstract
In this paper, we consider the system governed via the coefficients of a semilinear elliptic equation and give the necessary conditions for optimal control. Furthermore, we obtain the necessary conditions for an optimal domain in a domain optimization problem.
(Received March 29 1996)
(Revised January 27 1998)
