Optimal control of semilinear parabolic equations with state-constraints of bottleneck type
ESAIM: Control, Optimisation and Calculus of Variations, Tome 4 (1999), pp. 595-608.
@article{COCV_1999__4__595_0,
     author = {Bergounioux, Ma{\"\i}tine and Tr\"oltzsch, Fredi},
     title = {Optimal control of semilinear parabolic equations with state-constraints of bottleneck type},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {595--608},
     publisher = {EDP-Sciences},
     volume = {4},
     year = {1999},
     mrnumber = {1746169},
     zbl = {0929.49001},
     language = {en},
     url = {http://www.numdam.org/item/COCV_1999__4__595_0/}
}
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Bergounioux, Maïtine; Tröltzsch, Fredi. Optimal control of semilinear parabolic equations with state-constraints of bottleneck type. ESAIM: Control, Optimisation and Calculus of Variations, Tome 4 (1999), pp. 595-608. http://www.numdam.org/item/COCV_1999__4__595_0/

[1] M. Bergounioux and F. Tröltzsch, Optimality Conditions and Generalized Bang-Bang Principle for a State Constrained Semi-linear Parabolic Problem. Num. Funct. Anal. Opt. 15 ( 1996) 517-537. | MR | Zbl

[2] M. Bergounioux and F. Tröltzsch, Optimal Control of Linear Bottleneck Problems. ESAIM: Cont. Optim. Cal. Var. 3 ( 1998) 235-250. | EuDML | Numdam | MR | Zbl

[3] E. Casas, Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations. SIAM J. Control Optim. 35 ( 1997) 1297-1327. | MR | Zbl

[4] J.P. Raymond, Non Linear Boundary Control of Semilinear Parabolic Problems with Pointwise State Constraints. Discrete and Continuons Dynamical Systems 3 ( 1997) 341-370. | MR | Zbl

[5] J.P. Raymond and H. Zidani, Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations. Appl. Math. Optim., to appear | MR | Zbl

[6] F. Tröltzsch, Optimality conditions for parabolic control problems and applications, Teubner Texte zur Mathematik, Teubner, Leipzig ( 1984). | MR | Zbl

[7] J. Zowe and S. Kurcyusz, Regularity and stability for the mathematical programming problem in Banach spaces. Appl. Math. Optim. 5 ( 1979) 49-62. | MR | Zbl