Date of Award
2022
First Advisor
KellyAnne McGuire
Second Advisor
Ken Knox
Abstract
This expository note is dedicated to give a self-contained introduction to basic techniques for solving some non-linear partial differential equations fromc omplex geometry. These include the proof of the Uniformization Theorem, the Calabi conjecture and severaltechniques from the theory of PDE such as the Method of Continuity and Elliptic theory for second order linear equations.
Recommended Citation
Wang, Yipeng, "Non-Linear Partial Differential Equations in Complex Geometry" (2022). Senior Theses. 1601.
https://digitalcommons.bard.edu/sr-theses/1601
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