TY - JOUR T1 - The First Initial Boundary Value Problem for Parabolic Hessian Equations on Riemannian Manifolds AU - Ren , Changyu JO - Communications in Mathematical Research VL - 4 SP - 305 EP - 319 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/18999.html KW - Hessian operator, fully nonlinear, Riemannian manifold. AB -

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.