Special Session 23: 

On analyticity of solutions to local and non-local equations

Alex Himonas
University of Notre Dame
USA
Co-Author(s):    
Abstract:
We shall discuss analyticity properties in the spatial and time variables for solutions to the Cauchy problem of evolution equations with analytic initial data. In particular, lower bound estimates for the uniform radius of spatial analyticity will be presented for several important equations including the Korteweg-de Vries and the Camassa-Holm equations. The talk is based on works with Professors S. Selberg, H. Kalisch, G. Petronilho, R. Barostichi, and Renata Figueira.