Differential and Integral Equations
- Differential Integral Equations
- Volume 13, Number 7-9 (2000), 1039-1072.
Time optimal problems with boundary controls
We consider time optimal control problems governed by semilinear parabolic equations with pointwise state constraints and unbounded controls. We derive a Pontryagin's principle for boundary controls. We prove a regularity result for the gradient of the state variable and by this way we are able to define a Hamiltonian functional which intervenes in an optimality condition satisfied by the optimal terminal time.
Differential Integral Equations Volume 13, Number 7-9 (2000), 1039-1072.
First available in Project Euclid: 21 December 2012
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Raymond, J. P.; Zidani, H. Time optimal problems with boundary controls. Differential Integral Equations 13 (2000), no. 7-9, 1039--1072.https://projecteuclid.org/euclid.die/1356061209