×

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

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.

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
PDF BibTeX XML Cite
Full Text: DOI Link