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Theses Doctoral

Local Regularity of the Complex Monge-Ampere Equation

Wang, Yu

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.

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More About This Work

Academic Units
Mathematics
Thesis Advisors
Phong, Duong Hong
Degree
Ph.D., Columbia University
Published Here
May 15, 2013