Journal of Applied Mathematics
Volume 2013 (2013), Article ID 304864, 4 pages
Research Article

A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds

Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China

Received 8 November 2012; Accepted 21 February 2013

Academic Editor: Junjie Wei

Copyright © 2013 Qiang Ru. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the asymptotic behavior of the parabolic Monge-Ampère equation in , in , where is a compact complete Riemannian manifold, λ is a positive real parameter, and is a smooth function. We show a meaningful asymptotic result which is more general than those in Huisken, 1997.