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math.AP2024
On notions of -parabolic capacity and applications
Kristian Moring, Christoph Scheven
We consider different notions of capacity related to the parabolic -Laplace equation. Our focus is on a variational notion, which is consistent in the full range . F…
math.AP2024
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…