Null controllability of the semilinear heat equation

E. Fernandez-Cara

doi:10.1051/cocv:1997104

Abstract

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| → ∞.

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