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A bound on the boundary input map for parabolic equations with application to time optimal control. (English) Zbl 0439.93035


MSC:

93C20 Control/observation systems governed by partial differential equations
93C25 Control/observation systems in abstract spaces
35K20 Initial-boundary value problems for second-order parabolic equations
47D03 Groups and semigroups of linear operators
49K30 Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
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