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math.AP2025
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)\…
math.AP2025
Very weak solutions to degenerate parabolic double-phase systems
Wontae Kim, Lauri Särkiö
We prove a local self-improving property for the gradient of very weak solutions to degenerate parabolic double-phase systems. The result is based on a reverse Hölder inequality wi…