Skip to main content

Dissertation Defense

Dissertation Defense

Title:  GLOBAL WELL-POSEDNESS FOR THE DERIVATIVE NONLINEAR SCHR¨ODINGER EQUATION THROUGH INVERSE SCATTERING

Abstract:  We study the Cauchy problem of the derivative nonlinear Schro¨dinger equation in one space dimension. Using the method of inverse scattering, we prove global well-posedness of the derivative nonlinear Schro¨dinger equation for initial conditions in a dense and open subset of weighted Sobolev space that can support bright solitons.

Date:
-
Location:
745 Patterson Office Tower
Event Series:

Dissertation Defense

Title: Artin's Conjecture for additive forms.

Abstract: We prove a special case of a conjecture of Emil Artin; namely, we prove that if K is an unramified extension of Q_p where p is an odd prime, and if f is an additive form of degree d and dimension d^2+1, then f is K-isotropic.

Date:
-
Location:
318 Patterson Office Tower
Event Series: