Carleman estimate with piecewise weight and applications to inverse problems for first-order transport equations

P. Cannarsa, G. Floridia, M. Yamamoto

We consider a first-order transport equation $\ppp_tu(x,t) + (H(x)\cdot\nabla u(x,t)) + p(x)u(x,t) = F(x,t)$ for $x \in \OOO \subset \R^d$, where $\OOO$ is a bounded domain and $0<…