Invitation to Work on PDEs on the Complex Plane
The Differential Equations (DE) research group invites MS Math graduate students to work on a topic on Partial Differential Equations (PDEs) on the Complex Plane.
This broad topic includes the study of the existence and uniqueness of solutions of PDEs, spaces where classes of PDEs are solvable, and the properties and the asymptotic behavior of said solutions, if they exist. Some concepts that are commonly used in this topic are power series expansions, fixed-point theorems, and the method of successive approximations. A good grasp of advanced calculus and complex analysis would be enough to study this topic.
If you are interested or if you have any questions, please email Dr. Jose Ernie Lope at jclope@up.edu.ph.