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Energy Functionals and Complex Monge–Ampère Equations

Published online by Cambridge University Press:  10 February 2010

Zuoliang Hou
Affiliation:
Mathematics Department, Columbia University, 2990 Broadway, New York, NY 10027, USA ([email protected]; [email protected])
Qi Li
Affiliation:
Mathematics Department, Columbia University, 2990 Broadway, New York, NY 10027, USA ([email protected]; [email protected])

Abstract

We introduce certain energy functionals to complex Monge–Ampère equations over bounded domains with inhomogeneous boundary conditions, and use these functionals to show the convergence of solutions to certain parabolic Monge–Ampère equations.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2010

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