Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices
Date
2004-01-23
Authors
Carvajal, Xavier
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We prove that the initial value problem associated with
∂tu + iα∂2xu + β∂3xu + iγ|u|2u = 0, x, t ∈ ℝ,
is locally well-posed in Hs for s > -1/4.
Description
Keywords
Schrodinger equation, Korteweg-de Vries equation, Trilinear estimate, Bourgain spaces
Citation
Carvajal, X. (2004). Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices. <i>Electronic Journal of Differential Equations, 2004</i>(13), pp. 1-10.
Rights
Attribution 4.0 International