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Local Regularity of the Complex Monge-Ampere Equation

Yu Wang

Title:
Local Regularity of the Complex Monge-Ampere Equation
Author(s):
Wang, Yu
Thesis Advisor(s):
Phong, Duong Hong
Date:
Type:
Theses
Degree:
Ph.D., Columbia University
Department(s):
Mathematics
Persistent URL:
Abstract:
In this thesis, we present a self-contained account of the current development in the local regularity theory of the complex Monge-Ampere equation through the modern fully-nonlinear PDE point of view. We have apply the modern elliptic techniques to establish new local regularity results. These includes: regularity of small perturbed solutions, Holder regularity of the Hessian of the W^{2,p} solutions and a Liouville-type theorem.
Subject(s):
Mathematics
Item views
811
Metadata:
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Suggested Citation:
Yu Wang, , Local Regularity of the Complex Monge-Ampere Equation, Columbia University Academic Commons, .

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