Elliptic‐to‐parabolic Morrey spaces–potentials–capacities with applications to certain evolution PDE

Abstract This article shows the optimal parabolic generalizations of some known strong–weak results for the elliptic Morrey spaces–potentials–capacities, thereby studying not only the heat‐type equations but also the Navier–Stokes‐type equations as well as the wave‐type equations living within the elliptic‐to‐parabolic Morrey spaces.