On the Cauchy problem for the derivative nonlinear Schroedinger equation with periodic boundary condition
S. Herr
Abstract
It is shown that the Cauchy problem for the DNLS equation in the spatially periodic setting is locally well-posed in Sobolev spaces Hs(T) for s ≥ 1/2. Moreover, global well-posedness is shown for s ≥ 1 and data with small L2 norm.
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