Regularity Bounds on Zakharov System Evolutions

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dc.creatorColliander, J.
dc.creatorStaffilani, G.
dc.date2002-03-14
dc.date.accessioned2026-07-07T04:47:04Z
dc.date.available2026-07-07T04:47:04Z
dc.descriptionSpatial regularity properties of certain global-in-time solutions of the Zakharov system are established. In particular, the evolving solution $u(t)$ is shown to satisfy an estimate $\Hsup s {u(t)} \leq C {{|t|}^{(s-1)+}}$, where $H^s$ is the standard spatial Sobolev norm. The proof is an adaptation of earlier work on the nonlinear Schrödinger equation which reduces matters to bilinear estimates.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0203140
dc.identifierhttp://arxiv.org/abs/math/0203140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63566
dc.subjectAnalysis of PDEs
dc.subject35Q55
dc.titleRegularity Bounds on Zakharov System Evolutions
dc.typetext

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