Well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices
classification
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keywords
sobolevspacesalphauassociatedbetaequationgammahigher
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We prove that, the initial value problem associated to u_{t} + i\alphau_{xx} + \beta u_{xxx} + i\gamma |u|^{2}u = 0, x,t \in R, is locally well-posed in Sobolev spaces H^{s} for s>-1/4.
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