Parabolic equations with variably partially VMO coefficients

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dc.creatorDong, Hongjie
dc.date2008-11-25
dc.date.accessioned2026-07-07T10:36:34Z
dc.date.available2026-07-07T10:36:34Z
dc.descriptionWe prove the $W^{1,2}_{p}$-solvability of second order parabolic equations in nondivergence form in the whole space for $p\in (1,\infty)$. The leading coefficients are assumed to be measurable in one spatial direction and have vanishing mean oscillation (VMO) in the orthogonal directions and the time variable in each small parabolic cylinder with the direction depending on the cylinder. This extends a recent result by Krylov [17] for elliptic equations and removes the restriction that $p>2$.
dc.description17 pages, submitted for publication
dc.identifierhttps://arxiv.org/abs/0811.4124
dc.identifierhttp://arxiv.org/abs/0811.4124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180094
dc.subjectAnalysis of PDEs
dc.subject35J15,35K15,35R05
dc.titleParabolic equations with variably partially VMO coefficients
dc.typetext

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