Weak solutions of the nonlocal p>2 two-phase Stefan problem have a logarithmic modulus of continuity up to the boundary, and a continuous weak solution of the initial-boundary value problem exists.
A H¨ older estimate with an opti mal tail for nonlocal parabolic p- Laplace equations
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Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem
Weak solutions of the nonlocal p>2 two-phase Stefan problem have a logarithmic modulus of continuity up to the boundary, and a continuous weak solution of the initial-boundary value problem exists.