|Harmonic Analysis and the Fluid Interface Problems|
|Instructor：||Wu Sijue [University of Michigan]|
|Place：||Conference room1, Floor1 Jin Chun Yuan West Building|
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).
Caldeon-Zygmund operators, pseudo-differential operators, and the Cauchy integral of Calderon.
Coifman & Meyer:
Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals.