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This paper is concerned with the global exact controllability of
the semilinear heat equation (with nonlinear terms involving the state and
the gradient) completed with boundary conditions of the form .
We consider distributed controls, with support in a small set.
The null controllability of similar linear systems has been analyzed
in a previous first part of this work.
In this second part we show that, when the nonlinear terms are
locally Lipschitz-continuous and slightly superlinear, one...
In this paper, we prove the global null controllability of
the linear heat equation completed with linear Fourier
boundary conditions of the form
.
We consider distributed controls with support in a small set and
nonregular coefficients .
For the proof of null controllability, a crucial tool will be a new
Carleman estimate for the weak solutions of the classical heat
equation with
nonhomogeneous Neumann boundary conditions.
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