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Feedback controllability of the free boundary of the one phase Stefan problem. (English) Zbl 0728.49013

The authors obtain a feedback control law for an optimal control problem related to the controllability of the free boundary of the one phase Stefan problem. That law involves the solution to a certain Riccati equation.
Reviewer: O.Cârjá (Iaşi)

MSC:

49N35 Optimal feedback synthesis
49L20 Dynamic programming in optimal control and differential games
35D05 Existence of generalized solutions of PDE (MSC2000)
49J10 Existence theories for free problems in two or more independent variables
49J30 Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
80A22 Stefan problems, phase changes, etc.
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