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Null controllability of the semilinear heat equation

E. Fernandez-Cara — 2010

ESAIM: Control, Optimisation and Calculus of Variations

This paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control is exerted either on a small subdomain or on a portion of the boundary. We prove that the system is null controllable when the nonlinear term grows slower than . log|| as || → ∞.

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