Hypoellipticity for linear degenerate elliptic systems in Carnot groups and applications

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dc.creatorShores, Emily
dc.date2005-02-27
dc.date.accessioned2026-07-07T05:17:32Z
dc.date.available2026-07-07T05:17:32Z
dc.descriptionWe prove that if u is a weak solution to a constant coefficient system (with strong ellipticity assumed along the horizontal direction) in a Carnot group (no restriction on the step), then u is actually smooth. We then use this result to develop blow-up analysis to prove a partial regularity result for weak solutions of certain non-linear systems.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0502569
dc.identifierhttp://arxiv.org/abs/math/0502569
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74338
dc.subjectAnalysis of PDEs
dc.subject35
dc.titleHypoellipticity for linear degenerate elliptic systems in Carnot groups and applications
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