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Artículo
On the controllability of a free-boundary problem for the 1D heat equation
(Elsevier, 2016-01)
This paper deals with the local null control of a free-boundary problem for the classical 1D heat equation with distributed controls, locally supported in space. In the main result we prove that, if the final time T is ...
Artículo
Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control
(EDP Sciences, 2016)
In this paper, we prove controllability results for some linear and semilinear systems where we find two parabolic PDEs and one elliptic PDE and we act through one locally supported in space scalar control. The arguments ...
Artículo
Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation
(Springer, 2016-08-15)
This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at x=0). In the main result ...
Artículo
Local null controllability of a 1D Stefan problem
(Springer, 2018)
The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with ...