Local Regularity of the Complex Monge-Ampere Equation
By: Yu Wang
Publisher: [publisher not identified]
Published: 2013
Place of publication: [New York, N.Y.?]
Language: eng
Description: 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.
Notes: Department: Mathematics.

Thesis advisor: Duong Hong Phong.

Thesis (Ph.D.)--Columbia University, 2013.