Observability inequalities for transport equations through Carleman estimates

Piermarco Cannarsa, Giuseppe Floridia, Masahiro Yamamoto

We consider the transport equation $\ppp_t u(x,t) + H(t)\cdot \nabla u(x,t) = 0$ in $\OOO\times(0,T),$ where $T>0$ and $\OOO\subset \R^d $ is a bounded domain with smooth boundary…