2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118192An $L_{q}(L_{p})$-theory of divergence and non-divergence form parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$, which, in particular, contains all measurable functions depending only on $t$. The method of proving simplifies the methods previously used in the case $p=q$.36 pagesAnalysis of PDEs35K10, 35J15text