Program
Harmonic Analysis and the Fluid Interface Problems
Student No.:50
Time:Tue/Thu 15:10-17:00
Instructor:Wu Sijue  [University of Michigan]
Place:Conference room1, Floor1 Jin Chun Yuan West Building
Starting Date:2012-9-4
Ending Date:2012-9-27

Description:Harmonic analysis is a beautiful core subject in mathematics that has found many applications in the modern study of nonlinear partial differential equations. In this course, we will introduce basic tools including the Calderon-Zygmund operators, BMO functions, Carleson measure, para-products, the T1 Theorem and the Cauchy integral of Calderon. We will discuss some recent advancements in the fluid interface problems. Materials will be taken from the references and research papers.

 

Prerequisite:Real Analysis, Complex Analysis, Partial Differential Equations (undergraduate level).

 

Reference:

Jean-Lin Journe:     

Caldeon-Zygmund operators, pseudo-differential operators, and the Cauchy integral of Calderon. 

Coifman & Meyer:   

Wavelets: Cald?ron-Zygmund and multilinear operators.
Elias M. Stein:        

Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals.