2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162715We investigate the transport equation: $u_t+b \cdot \nabla u=0$. Our result improves the criteria on uniqueness of weak solutions, replacing the classical condition: $÷b \in L_\infty$ by $÷b \in BMO$.Analysis of PDEsMathematical Physics35F05,35F10Transport equation: extension of classical results for div $b\in$ BMOtext