Well-posedness for one-dimensional derivative nonlinear Schrödinger equations

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dc.creatorHao, Chengchun
dc.date2008-11-26
dc.date.accessioned2026-07-07T12:04:28Z
dc.date.available2026-07-07T12:04:28Z
dc.descriptionIn this paper, we investigate the one-dimensional derivative nonlinear Schrödinger equations of the form $iu_t-u_{xx}+iλ\abs{u}^k u_x=0$ with non-zero $λ\in \Real$ and any real number $k\gs 5$. We establish the local well-posedness of the Cauchy problem with any initial data in $H^{1/2}$ by using the gauge transformation and the Littlewood-Paley decomposition.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0811.4222
dc.identifierhttp://arxiv.org/abs/0811.4222
dc.identifierComm. Pure Appl. Anal., 6(4), 997-1021, 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208140
dc.subjectAnalysis of PDEs
dc.subject35Q55; 35A07
dc.titleWell-posedness for one-dimensional derivative nonlinear Schrödinger equations
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