Remarks on the Hölder-continuity of solutions to parabolic equations with conic singularities

摘要

This is a note on cite{LSU} and cite{FS}. Using their work line by line, weprove the H"older-continuity of solutions to linear parabolic equations ofmixed type, assuming the coefficient of $rac{partial}{partial t}$ hastime-derivative bounded from above. On a K"ahler manifold, this H"olderestimate works when the metrics possess conic singularities along a normalcrossing divisor.