Well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68215We prove that, the initial value problem associated to u_{t} + i\alphau_{xx} + βu_{xxx} + iγ|u|^{2}u = 0, x,t \in R, is locally well-posed in Sobolev spaces H^{s} for s>-1/4.Analysis of PDEs35Q58, 35Q60Well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indicestext