| Abstract: |
| We substantially improve in two scenarios the current state-of-the-art modulus of continuity for weak solutions to the $N$-dimensional, two-phase Stefan problem featuring a $p-$degenerate diffusion: for $p=N\geq 3$, we sharpen it to
$$
\boldsymbol{\omega}(r) \approx \exp (-c| \ln r|^{\frac1N});
$$
for $p>\max\{2,N\}$, we derive an unexpected H\older modulus. |
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