Abstract
We establish an interior Hessian estimate for the scalar heat equation on a complete manifold with bounded curvature. Our estimate is independent of the covariant derivatives of the curvature.
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Acknowledgements
Part of the paper was written while the author was visiting the School of Mathematics at the University of Minnesota. She deeply appreciates its hospitality. The author was partially supported by MOST and NCTS.
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Sung, CJ.A. Hessian Estimate for Heat Equation. J Geom Anal 28, 360–374 (2018). https://doi.org/10.1007/s12220-017-9823-2
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DOI: https://doi.org/10.1007/s12220-017-9823-2