Article ID: | iaor2009553 |
Country: | Poland |
Volume: | 29 |
Issue: | 4 |
Start Page Number: | 861 |
End Page Number: | 886 |
Publication Date: | Jan 2000 |
Journal: | Control and Cybernetics |
Authors: | Bergounioux M., Merabet N. |
Keywords: | optimization |
The authors investigate an optimal control problem governed by a semilinear parabolic equation with perturbed initial data. Some sensitivity analysis is performed and, under polyhedricity assumption and second order optimality conditions, the second order expansion of the optimal value function is obtained.