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General optimality conditions for constrained convex control problems. (English) Zbl 0859.49026

The authors consider state-constrained optimal control problems of parabolic type, when the qualification condition is not satisfied. Assuming a “weak” qualification condition, they obtain a “weak” optimality system.
They give an application to bottleneck problems.

MSC:

49K20 Optimality conditions for problems involving partial differential equations
35K99 Parabolic equations and parabolic systems
93C20 Control/observation systems governed by partial differential equations
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