5 papers · 1 filter
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)\…
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…
Calderón-Zygmund type estimate for the singular parabolic double-phase system
Wontae Kim
This paper discusses the local Calderón-Zygmund type estimate for the singular parabolic double-phase system. The proof covers the counterpart of the result in [23]. Phase an…
Hölder regularity for degenerate parabolic double-phase equations
Wontae Kim, Kristian Moring, Lauri Särkiö
We prove that bounded weak solutions to degenerate parabolic double-phase equations of -Laplace type are locally Hölder continuous. The proof is based on phase analysis and meth…
Gradient higher integrability for singular parabolic double-phase systems
Wontae Kim, Lauri Särkiö
We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of -Laplace type when . The result is…