Global Well-posedness for the fourth order nonlinear Schrödinger equations with small rough data in high demension

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dc.creatorZhang, Hua
dc.date2008-11-10
dc.date2008-11-20
dc.date.accessioned2026-07-07T10:19:23Z
dc.date.available2026-07-07T10:19:23Z
dc.descriptionFor $n\geq 2$, we establish the smooth effects for the solutions of the linear fourth order Shrödinger equation in anisotropic Lebesgue spaces with $\Box_k$-decomposition. Using these estimates, we study the Cauchy problem for the fourth order nonlinear Schrödinger equations with three order derivatives and obtain the global well posedness for this problem with small data in modulation space $M^{9/2}_{2,1}({\Real^{n}})$.
dc.identifierhttps://arxiv.org/abs/0811.1419
dc.identifierhttp://arxiv.org/abs/0811.1419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174489
dc.subjectAnalysis of PDEs
dc.subject35L30, 46E35, 47D99
dc.titleGlobal Well-posedness for the fourth order nonlinear Schrödinger equations with small rough data in high demension
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