Second order estimates for augment Hessian equations of parabolic type on Riemannian manifolds

2021/08/12 by Yang Jiao, Jiao, Yang
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2108.05527

openalex publication_date 2021/08/12 · openalex created_date 2021/08/16 · openalex updated_date 2026/07/28

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.

Citations

• The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

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• The first initial boundary value problem for Hessian equations of parabolic type on Riemannian manifolds
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• Second order estimates for a class of complex Hessian equations on Hermitian manifolds