Mathematics Department - Graduate Student Analysis Seminar - Spring 2017

Graduate Student Analysis Seminar - Spring 2017



Organizer(s)

Matthew P. Charnley

Archive



Upcoming Talks


Monday, May 1st

Jeaheang Bang, Rutgers

"Some Concrete Examples of Elliptic Equations"

Time: 5:00 PM
Location: Hill Grad Student Lounge
Abstract: In this talk, instead of learning theories, we will take some concrete examples of elliptic equations. And we will discuss which methods we should apply and which one cannot work. We will figure out which method should be most elementary to solve each example.





Past Talks


Monday, April 17th

Jeaheang Bang, Rutgers

"L^2 and L^p theory for Poisson’s equation"

Time: 5:00 PM
Location: Hill Grad Student Lounge
Abstract: The main goal of this talk is to discuss L^p theory for Poisson’s equation and to compare this with L^2 theory. For this purpose, we will also briefly talk about Sobolev Space; weak and strong solution; Riesz representation theorem; Calderon Zygmund estimate; and maximum principle. (This talk is for preparation of my oral qualifying exam. I would love to be interrupted whenever you want to ask me questions.)


Tuesday, April 4th

Zhuolun Yang, Rutgers

"Existence and regularity theories of Poisson's equation"

Time: 12:00 PM
Location: Hill Grad Student Lounge
Abstract: In this talk I will show the Schauder estimate (C^{2, alpha} regularity) of Possion’s equation with potential. Combining Perron’s method, it will give us the existence of solution of the Dirichlet problem. This material will be one of the main topics in my oral exam, so everyone will be appreciated to embarrass me with challenging questions.


Monday, March 27th

Cole Franks, Rutgers

"TBA"

Time: 5:00 PM
Location: Hill Grad Student Lounge
Abstract: TBA


Tuesday, March 7th

Chloe Urbanski, Rutgers

"Geometric Proofs of Picard's Theorems"

Time: 12:00 PM
Location: Hill Grad Student Lounge
Abstract: In this talk, we will use tools from Complex Geometry to prove Picard's Little Theorem and Great Theorem. I will not assume any Geometry background - Complex or otherwise. We don't need the geometric tools in their full generality, so we will build any tools we need from the ground up.


Tuesday, February 21st

Matthew Charnley, Rutgers

"A Linear Sampling Method for Through-the-Wall Radar Detection"

Time: 12:00 PM
Location: Hill Grad Student Lounge
Abstract: In this talk, I will discuss the so-called Linear Sampling method which can be used to solve inverse problems for the Helmholtz equation. I will then explain how this can be modified and used to solve inverse problems in the area of Through-the-Wall imaging. This was work done with the Air Force Institute of Technology, and is a talk that I will be giving there on March 2.


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