Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms

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dc.creatorKim, Doyoon
dc.date2007-06-03
dc.date.accessioned2026-07-07T08:03:59Z
dc.date.available2026-07-07T08:03:59Z
dc.descriptionSecond order parabolic equations in Sobolev spaces with mixed norms are studied. The leading coefficients (except $a^{11}$) are measurable in both time and one spatial variable, and VMO in the other spatial variables. The coefficient $a^{11}$ is measurable in time and VMO in the spatial variables. The unique solvability of equations in the whole space is applied to solving Dirichlet and oblique derivative problems for parabolic equations defined in a half-space.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0706.0329
dc.identifierhttp://arxiv.org/abs/0706.0329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129785
dc.subjectAnalysis of PDEs
dc.subject35K10; 35K20; 35R05; 35A05
dc.titleParabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms
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