Almost Periodicity in Time of Solutions of the KdV Equation

Ilia Binder, David Damanik, Michael Goldstein +1

We study the Cauchy problem for the KdV equation ${\partial }_{t}u-6u{\partial }_{x}u+{\partial }_x^{3}u=0$ with almost periodic initial data $u(x,0)=V(x)$. We consider initial data $V…