Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold

Simple item page
dc.creatorMikhailets, Vladimir A.
dc.creatorMurach, Alexandr A.
dc.date2007-11-14
dc.date.accessioned2026-07-07T12:57:20Z
dc.date.available2026-07-07T12:57:20Z
dc.descriptionWe study a system of pseudodifferential equations that is elliptic in the sense of Petrovskii on a closed compact smooth manifold. We prove that the operator generated by the system is Fredholm one on a refined two-sided scale of the functional Hilbert spaces. Elements of this scale are the special isotropic spaces of Hörmander--Volevich--Paneah.
dc.identifierhttps://arxiv.org/abs/0711.2164
dc.identifierhttp://arxiv.org/abs/0711.2164
dc.identifierExtended variant is published in: Bull. Pol. Acad. Sci. Math., 56 (2008), no. 3 -- 4, 213 -- 224.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224895
dc.subjectAnalysis of PDEs
dc.subject35J45, 46E35
dc.titleElliptic systems of pseudodifferential equations in a refined scale on a closed manifold
dc.typetext

Files

Collections

arXiv