On solvability of parabolic equations with singular coefficients in odd mixed-norm Morrey–Sobolev spaces

We prove an existence and uniqueness theorem for second-order parabolic equations in the whole space with constant zeroth-order coefficient in mixed-norm Morrey–Sobolev spaces. The main coefficient [Formula: see text] is assumed to be measurable in [Formula: see text] and BMO in [Formula: see text] and the first-order coefficients [Formula: see text] are in an appropriate mixed-norm Morrey classes (thus admitting rather rough singularities). The mixed-norm Morrey–Sobolev spaces are “odd” in the sense that the interior integration in the formula defining the norm is performed with respect to [Formula: see text] and not to [Formula: see text] as is customary.