On estimates for augmented Hessian type parabolic equations on Riemannian manifolds

Yang Jiao; Yang Jiao

doi:10.3934/era.2022166

Electronic Research Archive

2022, Volume 30, Issue 9: 3266-3289. doi: 10.3934/era.2022166

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Research article

On estimates for augmented Hessian type parabolic equations on Riemannian manifolds

Yang Jiao ^,

School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Received: 28 November 2021 Revised: 11 May 2022 Accepted: 06 June 2022 Published: 07 July 2022

The author extends previous results to general classes of equations under weaker assumptions obtained in 2016 by Bao, Dong and Jiao concerning the study of the regularity of solutions for the first initial-boundary value problem for parabolic Hessian equations on Riemannian manifolds.
Citation: Yang Jiao. On estimates for augmented Hessian type parabolic equations on Riemannian manifolds[J]. Electronic Research Archive, 2022, 30(9): 3266-3289. doi: 10.3934/era.2022166

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Abstract

The author extends previous results to general classes of equations under weaker assumptions obtained in 2016 by Bao, Dong and Jiao concerning the study of the regularity of solutions for the first initial-boundary value problem for parabolic Hessian equations on Riemannian manifolds.

References

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