The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients

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dc.creatorMaz'ya, Vladimir
dc.creatorMitrea, Marius
dc.creatorShaposhnikova, Tatyana
dc.date2007-01-31
dc.date.accessioned2026-07-07T07:44:03Z
dc.date.available2026-07-07T07:44:03Z
dc.descriptionWe study the Dirichlet problem in Lipschitz domains and with boundary data in Besov spaces, for divergence form strongly elliptic systems of arbitrary order, with bounded, complex-valued coefficients. Our main result gives a sharp condition on the local mean oscillations of the coefficients of the differential operator and the unit normal to the boundary (which is automatically satisfied if these functions belong to space VMO) guaranteeing that the solution operator associated with this problem is an isomorphism.
dc.descriptionrevised version
dc.identifierhttps://arxiv.org/abs/math/0701898
dc.identifierhttp://arxiv.org/abs/math/0701898
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123057
dc.subjectAnalysis of PDEs
dc.subject35G15, 42B20, 35J55, 35J40, 35J67, 35E05, 46E39
dc.titleThe Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients
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