Global well-posedness and scattering for Derivative Schrödinger equation

Details Global well-posedness and scattering for Derivative Schrödinger equation Global well-posedness and scattering for Derivative Schrödinger equation

2009-09-20

arxiv.org/abs/0909.3611v2

Mathematics

Analysis of PDEs

26 pages

Scientific paper

In this paper we study the Cauchy problem for the elliptic and non-elliptic
derivative nonlinear Schr\"odinger equations in higher spatial dimensions
($n\geq 2$) and some global well-posedness results with small initial data in
critical Besov spaces $B^s_{2,1}$ are obtained. As by-products, the scattering
results with small initial data are also obtained.

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