Well-posedness for a Higher Order Nonlinear Schrödinger Equation in Sobolev Spaces of Negative Indices
نویسنده
چکیده
We prove that, the initial value problem associated to ∂tu+ iα∂ 2 x u+ β∂ x u+ iγ|u|u = 0, x, t ∈ R, is locally well-posed in Hs for s > −1/4.
منابع مشابه
Well-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in Anisotropic Sobolev Spaces with Nonnegative Indices
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