Special Session 23: 

Instability and Nonuniqueness for Generalizations of Novikov`s Equation

Curtis Holliman
The Catholic University of America
USA
Co-Author(s):    Alex Himonas
Abstract:
We discuss some new techniques that allow us to examine the instability and nonuniqueness for generalizations of Novikov`s equation when the initial data are taken in rough spaces. We utilize peakon collisions to construct examples of instability and also generate nonunique solutions to the family of equations.