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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
Exact controllability to the trajectories of the one-phase Stefan problem
(Elsevier, 2023-08-11)
This paper deals with the boundary exact controllability to the trajectories of the one-phase Stefan problem in one spatial dimension. This is a free-boundary problem that models solidification and melting processes. We ...
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 ...