Carvajal, Xavier2021-04-052021-04-052004-01-23Carvajal, 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. 1-10.1072-6691https://hdl.handle.net/10877/13332We 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalSchrodinger equationKorteweg-de Vries equationTrilinear estimateBourgain spacesArticle