The initial value problem for a third-order dispersive flow into compact almost Hermitian manifolds

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dc.creatorOnodera, Eiji
dc.date2008-05-21
dc.date.accessioned2026-07-07T09:40:09Z
dc.date.available2026-07-07T09:40:09Z
dc.descriptionWe present a time-local existence theorem of the initial value problem for a third-order dispersive evolution equation for open curves on compact almost Hermitian manifolds arising in the geometric analysis of vortex filaments. This equation causes the so-called loss of one-derivative since the target manifold is not supposed to be a Kähler manifold. We overcome this difficulty by using a gauge transformation of a multiplier on the pull-back bundle to eliminate the bad first order terms essentially.
dc.description23pages
dc.identifierhttps://arxiv.org/abs/0805.3219
dc.identifierhttp://arxiv.org/abs/0805.3219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161399
dc.subjectAnalysis of PDEs
dc.subject35Q55; 35Q53; 53C44
dc.titleThe initial value problem for a third-order dispersive flow into compact almost Hermitian manifolds
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