Title: Partial Differential Equations and Applied Mathematics Seminar (2017.5.29)

Author: CMAC

Date: 2017-05-23 (21:05)

Date/Time: May 29th, Mon., 4:00 ~ 5:00 PM

Location: Science Building #219 Yonsei University

Speaker: Gyeongha Hwang

Affiliation: National Center for Theoretical Sciences, Taiwan

Title: Deterministic and probabilistic analysis of fractional Schrodinger equation

Abstract:

In this talk, we consider the Cauchy problem of nonlinear dispersive equation. Nonlinear dispersive equations include an important class of equations such as the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. There are many important issues as wellposedness, blowup, scattering, stability and so on. In this time, we shall focus on wellposedness of fractional Schrodinger equation. Wellposedness of initial value problem depends on regularity of initial datum. I will present some results and methods regarding high regularity wellposedness, low regularity wellposedness and probabilistic wellposedness.