Gradient higher integrability of bounded solutions to parabolic double-phase systems

Iwona Chlebicka, Prashanta Garain, Wontae Kim

We prove that bounded solutions to degenerate parabolic double-phase problem modelled upon \[u_t-\dv(|\na u|^{p-2}\na u+a(x,t)|\na u|^{q-2}\na u)=-\dv(|F|^{p-2}F+a(x,t)|F|^{q-2}F)\…