On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach

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dc.creatorGalaktionov, V. A.
dc.date2009-01-26
dc.date.accessioned2026-07-07T12:34:32Z
dc.date.available2026-07-07T12:34:32Z
dc.descriptionIt is shown that, for the bi-harmonic equation, an optimal regularity criterion of the vertex of typical paraboloids can be expressed in terms of Osgood-Dini integral conditions of Petrovskii's type for the heat equation derived in 1934. Some extensions of the first Fourier coefficent method to other PDEs are discussed. A survey on boundary point regularity for elliptic and parabolic PDEs is enclosed.
dc.identifierhttps://arxiv.org/abs/0901.3986
dc.identifierhttp://arxiv.org/abs/0901.3986
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217466
dc.subjectAnalysis of PDEs
dc.subject35K55, 35K65
dc.titleOn regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach
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