2013 Theses Doctoral
Local Regularity of the Complex Monge-Ampere Equation
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.
Files
- Wang_columbia_0054D_11314.pdf application/pdf 508 KB Download File
More About This Work
- Academic Units
- Mathematics
- Thesis Advisors
- Phong, Duong Hong
- Degree
- Ph.D., Columbia University
- Published Here
- May 15, 2013