A Stationary Phase Method for a Class of Nonlinear Equations

A Stationary Phase Method for a Class of Nonlinear Equations - Yen Do

Yen Do
Georgia Institute of Technology
October 26, 2010

In this talk I will describe a real-variable method to extract long-time asymptotics for solutions of many nonlinear equations (including the Schrodinger and mKdV equations). The method has many resemblances to the classical stationary phase method in the theory of oscillatory integrals.