Displaying similar documents to “Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients”

Null controllability of the semilinear heat equation

E. Fernandez-Cara (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

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 || → ∞.

Remarks on non controllability of the heat equation with memory

Sergio Guerrero, Oleg Yurievich Imanuvilov (2013)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

In this paper we deal with the null controllability problem for the heat equation with a memory term by means of boundary controls. For each positive final time and when the control is acting on the whole boundary, we prove that there exists a set of initial conditions such that the null controllability property fails.