38 research outputs found
On the low-regularity global well-posedness of a system of nonlinear Schrodinger Equation
In this article, we study the low-regularity Cauchy problem of a one
dimensional quadratic Schrodinger system with coupled parameter . When ,we prove the global well-posedness in
with , while for , we
obtain global well-posedness in with . We
have adapted the linear-nonlinear decomposition and resonance decomposition
technique in different range of