  This is a note on \cite{LSU} and \cite{FS}. Using their work line by line, we
prove the H\"older-continuity of solutions to linear parabolic equations of
mixed type, assuming the coefficient of $\frac{\partial}{\partial t}$ has
time-derivative bounded from above. On a K\"ahler manifold, this H\"older
estimate works when the metrics possess conic singularities along a normal
crossing divisor.
