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Null Controllability of a Parabolic System with a Cubic Coupling Term

Null Controllability of a Parabolic System with a Cubic Coupling Term

We consider a system of two parabolic equations with a forcing term present in one equation and a cubic coupling term in the other one. We prove that the system is locally null controllable.MSC codes35K4093B05Keywordsnull controllabilityparabolic systemnonlinear couplingCarleman estimatereturn method