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We consider the 1 - d wave equation epsilon u(tt) - u(tt) + u(t) = 0 With Dirichlet boundary conditions in a bounded interval. It is well known that for any epsilon > 0 this system is exactly controllable, with controls distributed on some open[...]texto impreso
In this paper we prove that the null controllability property of the heat equation may be obtained as limit of the exact controllability properties of singularly perturbed damped wave equations, We impose Dirichlet, homogeneous boundary conditio[...]texto impreso
We address three null controllability problems related to the $1-d$ heat equation. First we show that the $1-d$ heat equation with a rapidly oscillating density is uniformly null controllable as the period of the density tends to zero. We also p[...]texto impreso
We consider the 1-d heat equation with a rapidly oscillating periodic, C-2 density in a bounded interval with Dirichlet boundary conditions. We analyze the problem of the null-controllability with a control acting on one of the extremes of the i[...]texto impreso
We consider the 1-d heat equation with rapidly oscillating periodic density in a bounded interval with Dirichlet boundary conditions. When the period tends to zero and the density weakly converges to its average we prove that the boundary contro[...]
