Null controllability of the semilinear heat equation
ESAIM: Control, Optimisation and Calculus of Variations, Tome 2 (1997) , pp. 87-103. 
@article{COCV_1997__2__87_0,
     author = {Fern\'andez-Cara, E.},
     title = {Null controllability of the semilinear heat equation},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {87--103},
     publisher = {EDP-Sciences},
     volume = {2},
     year = {1997},
     zbl = {0897.93011},
     mrnumber = {1445385},
     language = {en},
     url = {www.numdam.org/item/COCV_1997__2__87_0/}
}
Fernández-Cara, E. Null controllability of the semilinear heat equation. ESAIM: Control, Optimisation and Calculus of Variations, Tome 2 (1997) , pp. 87-103. http://www.numdam.org/item/COCV_1997__2__87_0/

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see also: Exact boundary controllability of the parabolic equation, Russian Math. Surveys, 48, No. 3, 1993, 211-212.

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[11] E. Zuazua: Exact controllability for semilinear wave equations in one space dimension, Ann. Inst. Henri Poincaré, Vol. 10, No. 1, 1993, 109-129. | Numdam | MR 1212631 | Zbl 0769.93017