Special Session 21: Evolution Equations and Integrable Systems
On the Cauchy problem of the modified b-family
Brian Reyes
University of Notre Dame USA
Co-Author(s):
Abstract:
We consider the Cauchy problem of the modified $b$-family
of equations and study its well-posedness in Sobolev and analytic spaces. Also, we study the evolution of the uniform
radius of analyticity for global solutions.