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

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

Year:    2013

Author:    Changyu Ren

Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 305–319

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-18999

Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 305–319

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Hessian operator fully nonlinear Riemannian manifold.

Author Details

Changyu Ren