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Riemann流形上的抛物型Monge-Ampère方程
引用本文:任长宇,王光烈.Riemann流形上的抛物型Monge-Ampère方程[J].东北数学,2007,23(5):413-424.
作者姓名:任长宇  王光烈
作者单位:REN Chang-yu(Institute of Mathematics, Jilin University, Changchun, 130012)  WANG Guang-lie(Institute of Mathematics, Jilin University, Changchun, 130012)
摘    要:This paper deals with a class of parabolic Monge-Ampère equation on Riemannian manifolds. The existence and uniqueness of the solution to the first initial-boundary value problem for the equation are established.

关 键 词:Riemann  manifold    fully  nonlinear  equation    admissible  solution    Monge-Ampère  type  equation
文章编号:1000-1778(2007)05-0413-12
修稿时间:2007年1月16日

Parabolic Monge-Ampère Equation on Riemannian Manifolds
REN Chang-yu,WANG Guang-lie.Parabolic Monge-Ampère Equation on Riemannian Manifolds[J].Northeastern Mathematical Journal,2007,23(5):413-424.
Authors:REN Chang-yu  WANG Guang-lie
Abstract:This paper deals with a class of parabolic Monge-Ampère equation on Riemannian manifolds. The existence and uniqueness of the solution to the first initial-boundary value problem for the equation are established.
Keywords:Riemann manifold  fully nonlinear equation  admissible solution  Monge-Ampère type equation
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