## Differential and Integral Equations

### On the regularity of the flow map associated with the 1D cubic periodic Half-Wave equation

#### Abstract

We prove that the solution map associated with the $1D$ half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces $H^s$ with $s\in ( \frac 14 , \frac 12 )$.

#### Article information

Source
Differential Integral Equations, Volume 29, Number 1/2 (2016), 183-200.

Dates
First available in Project Euclid: 24 November 2015