A smoothing property of Schrodinger equations in the critical case

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dc.creatorRuzhansky, Michael
dc.creatorSugimoto, Mitsuru
dc.date2004-05-28
dc.date.accessioned2026-07-07T07:36:17Z
dc.date.available2026-07-07T07:36:17Z
dc.descriptionIn this paper a global smoothing property of Schrodinger equations is established in the critical case in dimensions two and higher. It is shown that the critical smoothing estimate is attained if the smoothing operator has some structure. This structure is related to the geometric properties of the equations. Results for critical cases for operators of higher orders as well as for hyperbolic equations are also given.
dc.identifierhttps://arxiv.org/abs/math/0405548
dc.identifierhttp://arxiv.org/abs/math/0405548
dc.identifierMath. Ann., 335 (2006), 645-673.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120376
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q40; 35B65
dc.titleA smoothing property of Schrodinger equations in the critical case
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