Inégalité d'observabilité du type logarithmique et estimation de la fonction de coût des solutions des équations hyperboliques

Ouksel, Leila

ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 2, pp. 318-342.

Dans ce travail, nous donnons une estimation logarithmique des données de la solution $u$, d’un problème hyperbolique avec condition aux limites de type Neumann, par la trace de $u$ restreinte à un ouvert du bord, pendant un temps suffisamment grand qui nous permet d’estimer la fonction de coût de ce problème.

This work proposes a logarithmic estimation of the initial values of the solution $u$ of a hyperbolic problem, with Neumann boundary conditions, using the trace of $u$ restricted to the neighbourhood of the boundary, during a time sufficiently large for estimating the cost function of the problem.

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