4 research outputs found
On the Cauchy problem for the derivative nonlinear Schroedinger equation with periodic boundary condition
It is shown that the Cauchy problem for the DNLS equation in the spatially
periodic setting is locally well-posed in Sobolev spaces H^s(T) for s \geq 1/2.
Moreover, global well-posedness is shown for s \geq 1 and data with small L^2
norm.Comment: 22 page