This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional parabolic equations are considered. We show that, in this framework, boundary controllability is not equivalent and is more complex than distributed controllability. In our main result, we provide necessary and sufficient
conditions for the null controllability.Ministerio de Ciencia e InnovaciónDirección General Asuntos del Personal Académico (Univeridad Nacional Autónoma de México
