Regular elliptic boundary-value problem in a two-sided refined scale of spaces

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dc.creatorMikhailets, Vladimir A.
dc.creatorMurach, Aleksandr A.
dc.date2007-12-10
dc.date.accessioned2026-07-07T12:57:20Z
dc.date.available2026-07-07T12:57:20Z
dc.descriptionA regular elliptic boundary-value problem over a bounded domain with a smooth boundary is studied. We prove that the operator of this problem is a Fredholm one in the two-sided refined scale of the functional Hilbert spaces and generates a complete collection of isomorphisms. Elements of this scale are the isotropic spaces of Hormander-Volevich-Paneah and some its modifications. A priori estimate for the solution is established and its regularity is investigated.
dc.descriptionIn Russian Abstract in English
dc.identifierhttps://arxiv.org/abs/0712.1581
dc.identifierhttp://arxiv.org/abs/0712.1581
dc.identifierUkrainian Math. J., 60 (2008), no. 4, 574 -- 597. (in English)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224898
dc.subjectAnalysis of PDEs
dc.subject35J40; 46E35
dc.titleRegular elliptic boundary-value problem in a two-sided refined scale of spaces
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