The First Initial Boundary Value Problem for Parabolic Hessian Equations on Riemannian Manifolds

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Abstract

For a class of elliptic Hessian operators, one type of corresponding parabolic Hessian equations is studied on Riemannian manifolds. The existence and uniqueness of the admissible solution to the first initial boundary value problem for the equations are shown.

Keywords:

Hessian operator fully nonlinear Riemannian manifold.
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The First Initial Boundary Value Problem for Parabolic Hessian Equations on Riemannian Manifolds. (2021). Communications in Mathematical Research, 29(4), 305-319. https://www.global-sci.com/index.php/cmr/article/view/8782