Improved Moduli of Continuity for Degenerate Phase Transitions.

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 ≥ 3 , we sharpen it to ω ( r ) ≈ exp ( - c | ln r | 1 N ) ; for p > max { 2 , N } , we derive an unexpected Hölder modulus.