Title: Introduction to the Riemann-Hilbert Problem in $L^p$-space.
Speaker: Fudong Wang.
Date: Thursday, January $23^{rd}$
Time: 11:00am
Place: CIS 1023
Abstract: We will first introduce some fundamental results about the
Cauchy operator. Base on the Cauchy operator, we will make it precise
what is the RHP and what is the solution to an RHP. Then we will talk
about the two types of inhomogeneous Riemann-Hilbert problems and
establish the equivalence between them. Finally, a uniqueness theorem of
RHP in $L^p$ will be given. If time permits, its application to the
inverse scattering theory will be mentioned too.