2018년 3월 7일 오후 4-5시 Abstract. In this talk, we introduce a class of quasi-linear parabolic equations with the principal part in divergence form, that are either degenerate or singular due to the vanishing of a solution or its gradient. In particular, we mainly discuss the local Holder continuity of weak solutions to equations of p-Laplace type and of porous medium type. The generalized structure in the setting from Orlicz spaces and quantitative methods of proofs are main subjects. Details of dierent geometric characters of degenerate and singular solutions are discussed. Furthermore, we may discuss Holder continuity of porous medium equations on the drift vector eld.