A problem of boundary controllability for a plate

The boundary controllability problem, here discussed,might be described by a two-dimensional spaceequation modeling, at the same time $t$, different physicalphenomena in a composite solid made of differentmaterials. These phenomena may be governed, at thesame time $t$, for example, by the heat equation and by theSchrödinger equation in two separate regions. Interfacetransmission conditions are imposed.