Approximation of null controls for semilinear heat equations using a least-squares approach

Autor: Arnaud Münch, Jérôme Lemoine, Irene Marín-Gayte

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2021, 27, pp.63. ⟨10.1051/cocv/2021062⟩
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.63. ⟨10.1051/cocv/2021062⟩
ESAIM: Control, Optimisation and Calculus of Variations, In press
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, inPress
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, In press

The null distributed controllability of the semilinear heat equation ∂ty − Δy + g(y) = f 1ω assuming that g ∈ C1(ℝ) satisfies the growth condition lim sup|r|→∞g(r)∕(|r|ln3∕2|r|) = 0 has been obtained by Fernández-Cara and Zuazua (2

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https://hal.archives-ouvertes.fr/hal-02922784v1/file/NonlinearLS-H-1-25-08-2020.pdf