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},
     mrnumber = {1445385},
     zbl = {0897.93011},
     language = {en},
     url = {http://archive.numdam.org/item/COCV_1997__2__87_0/}
}
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Fernández-Cara, E. Null controllability of the semilinear heat equation. ESAIM: Control, Optimisation and Calculus of Variations, Tome 2 (1997), pp. 87-103. http://archive.numdam.org/item/COCV_1997__2__87_0/

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[2] C. Fabre, J.P. Puel and E. Zuazua: Approximate controllability of the semilinear heat equation, Proc. Royal Soc. Edinbourgh, 125 A, 1995, 31-61. | MR | Zbl

[3] A.V. Fursikov and O.Yu. Imanuvilov: On controllability of certain Systems simulating a fluid flow, in Flow Control, IMA Vol. Math. Appl., 68, Ed. by M.D. Gunzburger, Springer-Verlag, New York, 1995. | MR | Zbl

[4] A.V. Fursikov and O.Yu. Imanuvilov: Local exact controllability for 2-D Navier-Stokes equations, to appear.

[5] O.Yu. Imanuvilov: Thesis, Moscow 1991(in russian);

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

[6] O.Yu. Imanuvilov: Boundary controllability of parabolic equations, Russian Acad. Sci. Sb. Math., 186, No. 6, 1995, 109-132. | MR | Zbl

[7] O.A. Ladyzhenskaja, V.A. Solonnikov and N.N. Ural'Ceva: Linear and quasilinear equations of parabolic type, Trans. Math. Monographs,Vol. 23, AMS, Providence, 1968. | Zbl

[8] G. Lebeau and L. Robbiano: Contrôle exact de l'équation de la chaleur, Comm. P.D.E., 20, 1995, 335-356. | MR | Zbl

[9] G. Lebeau and E. Zuazua: Null controllability of a system of linear thermoelasticity, Arch. Rat. Mech. Anal., to appear. | MR | Zbl

[10] E. Zuazua: Exact boundary controllability for the semilinear wave equation, in Nonlinear differential equations and their applications, H. Brezis and J.L. Lions eds, Research Notes in Math. 10, Pitman, London, 1991, 357-391. | MR | Zbl

[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 | Zbl