Parabolic equations with measurable coefficients in $L

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129513The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except $a^{11}$) are assumed to be only measurable in time and one spatial variable, and VMO in the other spatial variables. The coefficient $a^{11}$ is measurable in one spatial variable and VMO in the other variables.Analysis of PDEs35K10; 35R05; 35A05Parabolic equations with measurable coefficients in $L_p$-spaces with mixed normstext