Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms

We prove the $$L_{p,q}$$ -solvability of parabolic equations in divergence form with full lower-order terms. The coefficients and non-homogeneous terms belong to mixed Lebesgue spaces lowest integrability conditions. In particular, for are not necessarily bounded. study both Dirichlet conormal derivative boundary value problems on irregular domains. also embedding results Sobolev spaces, proof which is independent interest.