Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover, an explicit modulus of continuity is given. The effect of the p-Laplacian type diffusion is also considered.
Keywords: 35B65; 35K65; 35K92; 80A22.
© The Author(s) 2021, corrected publication 2022.