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math.AP2022
Insensitizing control for linear and semi-linear heat equations with partially unknown domain
Pierre Lissy, Yannick Privat, Yacouba Simporé
We consider a semi-linear heat equation with Dirichlet boundary conditions and globally Lipschitz nonlinearity, posed on a bounded domain of R^N (N N *), assumed to be an unk…
math.AP2020
A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation
Ludovick Gagnon, Pierre Lissy, Swann Marx
This paper deals with the rapid stabilization of a degenerate parabolic equation with a right Dirich-let control. Our strategy consists in applying a backstepping strategy, which s…
math.AP2019
Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control
Michel Duprez, Pierre Lissy
This work is devoted to the control of the Fokker-Planck equation, posed on a smooth bounded domain of R^d, with a localized drift force. We prove that this equation is locally con…