Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 2, Pages 177-188
doi:10.1155/S1048953395000165

Error estimate for optimality of distributed parameter control problems via duality

W. L. Chan1 and S. P. Yung2

 1The Chinese University of Hong Kong, Department of Mathematics, Hong Kong
2The University of Hong Kong, Department of Mathematics, Hong Kong
Received 1 April 1994; Revised 1 February 1995

Abstract

Sharp error estimates for optimality are established for a class of distributed parameter control problems that include elliptic, parabolic, hyperbolic systems with impulsive control and boundary control. The estimates are obtained by constructing manageable dual problems via the extremum principle.