Second order analysis for bang-bang control problems of PDEs. (English) Zbl 1257.49021

Casas, Eduardo

SIAM J. Control Optim. 50, No. 4, 2355-2372 (2012).

The author obtains some sufficient second order optimality conditions for optimal control problems of elliptic partial differential equations when the control does not appear explicitly in the cost functional, covering the case of bang-bang controls.

Reviewer: Gheorghe Aniculăesei (Iaşi)

MSC:

49K30	Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
35J61	Semilinear elliptic equations
49K20	Optimality conditions for problems involving partial differential equations

Keywords:

optimal control; semilinear partial differential equation; second order optimality conditions; bang-bang controls; sparse controls