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arXiv · 1605.01494

Remarks on the H\"older-continuity of solutions to parabolic equations with conic singularities

Yuanqi Wang
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Abstract

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.

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Yuanqi Wang. 2016-05-05. Remarks on the H\"older-continuity of solutions to parabolic equations with conic singularities. https://doi.org/10.2140/pjm.2020.305.311

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