Orateur
Sue Claret
Description
In this talk, we adress the exact controllability of the semilinear wave equation $\partial_{tt} y - \Delta y + f(y) = 0$ posed over a bounded domain $\Omega$ of $\mathbb{R}^d$ with initial data in $L^2(\Omega)\times H^{-1}(\Omega)$. We focus on the existence of a Dirichlet boundary control for the equation under a growth condition at infinity on the nonlinearity $f$ of the type $r\ln^p r$, with $p\in [0, 3/2)$. This result is based on a Schauder fixed-point argument. Then, assuming additional assumptions on $f'$, we consider the approximation of a control function.
This is a joint work with Arnaud Münch and Jérôme Lemoine.
