Null Controllability of a Parabolic System with a Cubic Coupling Term

We consider a system of two parabolic equations with a forcing control term present in one equation and a cubic coupling term in the other one. We prove that the system is locally null controllable. Key words. Null controllability, parabolic system, nonlinear coupling, Carleman estimate, return method.

• Type: Journal
• Year: 2010
• Where: SIAMCO
• Authors: Jean-Michel Coron, Sergio Guerrero, Lionel Rosier
• Keywords: Cubic Coupling Term, Nonlinear Coupling, Parabolic Equations, SIAMCO 2010