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Artículo
Insensitizing controls for a semilinear heat equation with a superlinear nonlinearity
(Elsevier, 2002-10-15)
This Note is concerned with the existence of insensitizing controls for a semilinear heat equation when we consider nonlinearities that behave superlinearly at infinity. We prove the existence of a control insensitizing ...
Artículo
Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations
(American Institute of Mathematical Sciences, 2006-09)
This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear wave equation in a cylinder Ω×(0, T). More precisely, we intend to drive the solution of the ...
Ponencia
Some recent results on controllability of coupled parabolic systems: towards a Kalman condition
(2010)
Show the important differences between scalar and non scalar problems. Give necessary and sufficient conditions (Kalman condition) which characterize the controllability properties of these systems. We will only deal with ...
Ponencia
Minimal time of controllability for some parabolic systems
(2014)
The general aim of this talk is to show a phenomenon which arise when we deal with the null controllability properties of parabolic coupled systems: minimal time of controllability: 1 Boundary control: The condensation ...
Ponencia
Controllability of non-scalar parabolic systems: Some recent results and phenomena
(2016)
In this course we will deal with non-scalar systems which in fact are coupled parabolic scalar equations. We do not present results relating to the controllability problems of systems which come from fluid mechanics ...
Artículo
A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
(Springer, 2009-06)
We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach the result, we are led to prove a global ...
Artículo
Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case
(EDP Sciences, 2006-07)
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 ∂y ∂n + f(y) = 0. We ...
Artículo
On the controllability of parabolic systems with a nonlinear term involving the state and the gradient
(Society for Industrial and Applied Mathematics, 2002)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of RN with Dirichlet boundary conditions. We analyze the controllability problem ...
Artículo
On the controllability of the heat equation with nonlinear boundary Fourier conditions
(Elsevier, 2004-01-20)
In this paper we analyze the approximate and null controllability of the classical heat equation with nonlinear boundary conditions of the form ∂y ∂n + f(y) = 0 and distributed controls, with support in a small set. We ...