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Optimal control of a semilinear parabolic equation with singular arcs. (English) Zbl 1301.49053

Summary: This paper develops a theory of singular arc and corresponding second-order necessary and sufficient conditions for the optimal control of a semilinear parabolic equation with scalar control applied on the r.h.s. We obtain in particular an extension of Kelley’s condition, and the characterization of a quadratic growth property for a weak norm.

MSC:

49K20 Optimality conditions for problems involving partial differential equations
35K58 Semilinear parabolic equations

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References:

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