Global higher integrability for the parabolic equations in Reifenberg domains (Q2786311)

The paper concerns global gradient estimates in Orlicz spaces for weak solutions of the following parabolic equation NEWLINENEWLINE\[NEWLINE u_t-\text{div}(A\nabla u)= \operatorname{div} {\mathbf f}\quad \text{in }\Omega_T=\Omega\times (0,T], \qquad u=0\quad \text{on }\partial_p\Omega_T. NEWLINE\]NEWLINE NEWLINEHere, \(A\) is a symmetric matrix satisfying a uniform parabolicity condition with measurable coefficients having small BMO norm, and \(\Omega\) is a Reifenberg flat domain.