@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/} }
TY - JOUR AU - Bergounioux, Maïtine AU - Tröltzsch, Fredi TI - Optimal control of semilinear parabolic equations with state-constraints of bottleneck type JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 1999 SP - 595 EP - 608 VL - 4 PB - EDP-Sciences UR - http://www.numdam.org/item/COCV_1999__4__595_0/ LA - en ID - COCV_1999__4__595_0 ER -
%0 Journal Article %A Bergounioux, Maïtine %A Tröltzsch, Fredi %T Optimal control of semilinear parabolic equations with state-constraints of bottleneck type %J ESAIM: Control, Optimisation and Calculus of Variations %D 1999 %P 595-608 %V 4 %I EDP-Sciences %U http://www.numdam.org/item/COCV_1999__4__595_0/ %G en %F COCV_1999__4__595_0
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] 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
and ,[2] Optimal Control of Linear Bottleneck Problems. ESAIM: Cont. Optim. Cal. Var. 3 ( 1998) 235-250. | EuDML | Numdam | MR | Zbl
and ,[3] Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations. SIAM J. Control Optim. 35 ( 1997) 1297-1327. | MR | Zbl
,[4] Non Linear Boundary Control of Semilinear Parabolic Problems with Pointwise State Constraints. Discrete and Continuons Dynamical Systems 3 ( 1997) 341-370. | MR | Zbl
,[5] Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations. Appl. Math. Optim., to appear | MR | Zbl
and ,[6] Optimality conditions for parabolic control problems and applications, Teubner Texte zur Mathematik, Teubner, Leipzig ( 1984). | MR | Zbl
,[7] Regularity and stability for the mathematical programming problem in Banach spaces. Appl. Math. Optim. 5 ( 1979) 49-62. | MR | Zbl
and ,