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null controllability / semilinear parabolic partial differential equations / fixed-point method.

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Null controllability of the semilinear heat equation
E. Fernandez-Cara
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 2 / 1997

Published online by Cambridge University Press:

15 August 2002, pp. 87-103

Print publication:

1997
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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 f(s) grows slower than s . log|s| as |s| → ∞.