Wellposedness of Cauchy problem for the Fourth Order Nonlinear Schrödinger Equations in Multi-dimensional Spaces

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dc.creatorHao, Chengchun
dc.creatorHsiao, Ling
dc.creatorWang, Baoxiang
dc.date2008-11-26
dc.date.accessioned2026-07-07T12:04:27Z
dc.date.available2026-07-07T12:04:27Z
dc.descriptionWe study the wellposedness of Cauchy problem for the fourth order nonlinear Schrödinger equations i\partial_t u=-\epsΔu+Δ^2 u+P((\partial_x^αu)_{\absα\ls 2}, (\partial_x^α\bar{u})_{\absα\ls 2}),\quad t\in \Real, x\in\Real^n, where $\eps\in\{-1,0,1\}$, $n\gs 2$ denotes the spatial dimension and $P(\cdot)$ is a polynomial excluding constant and linear terms.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0811.4221
dc.identifierhttp://arxiv.org/abs/0811.4221
dc.identifierJ. Math. Anal. Appl., 328(1), 58-83, 2007
dc.identifierdoi:10.1016/j.jmaa.2006.05.031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208139
dc.subjectAnalysis of PDEs
dc.subject35Q55;35G25;35A07
dc.titleWellposedness of Cauchy problem for the Fourth Order Nonlinear Schrödinger Equations in Multi-dimensional Spaces
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