2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105146An $L_{p}$-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$, which, in particular, contains all functions independent of $x$. Weak uniqueness of the martingale problem associated with such equations is obtained.Analysis of PDEs35K10, 35J15, 60J60text