Energy Functionals for the Parabolic Monge-Ampere Equation

2007/04/13 by Zuoliang Hou, Qi Li, Hou, Zuoliang +1 · 1 citation
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0704.1822

Abstract

We introduce certain energy functionals to the complex Monge-Ampere equation over a bounded domain with inhomogeneous boundary condition, and use these functionals to show the convergence of the solution to the parabolic Monge-Ampere equation.

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• Lectures on Stability and Constant Scalar Curvature

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