The Initial and Neumann Boundary Value Problem for A Class Parabolic Monge–Ampère Equation

  • Juan Wang
  • Huizhao Liu
  • Jinlin Yang
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 113)


Monge–Ampère equation is a typical fully nonlinear non-uniformly equation. The study of MA is motivated by the following two problems: Minkowski problem and Weyl problem. We consider the existence and uniqueness of a classical solution to the initial and Neumann boundary value problem for a class nonlinear parabolic equation of Monge–Ampère type. We show that such a solution exists for all times and is unique.


Parabolic Monge–Ampère equation Neumann Boundary value 


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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.School of Mathematics,Physics and Biological EngineeringInner Mongolia University of Science and TechnologyBaotouChina
  2. 2.Mathematical Institute HebeiUniversity of TechnologyTianjinChina

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