Null controllability of the complex Ginzburg-Landau equation

Lionel Rosier (1) , Bing-Yu Zhang (2)

1 IECN - Institut Élie Cartan de Nancy
2 Department of Mathematical Sciences [Cincinnati]

The paper investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg-Landau equation. Zero-controllability results are derived from a new Carleman estimate and an analysis based upon the theory of sectorial operators.

Mots clés: Ginzburg-Landau equation; Null controllability; Carleman estimate

Domaines: Optimisation et contrôle [math.OC]; Equations aux dérivées partielles [math.AP]; Algèbres d'opérateurs [math.OA]

Lionel Rosier, Bing-Yu Zhang. Null controllability of the complex Ginzburg-Landau equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009, 26 (2), pp.649-673. ⟨10.1016/j.anihpc.2008.03.003⟩. ⟨hal-00600951⟩