The Dirichlet problem in Lipschitz domains with boundary data in Besov spaces for higher order elliptic systems with rough coefficients

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dc.creatorMaz'ya, Vladimir
dc.creatorMitrea, Marius
dc.creatorShaposhnikova, Tatyana
dc.date2005-05-18
dc.date2005-06-10
dc.date.accessioned2026-07-07T05:19:59Z
dc.date.available2026-07-07T05:19:59Z
dc.descriptionWe settle the issue of well-posedness for the Dirichlet problem for a higher order elliptic system ${\mathcal L}(x,D_x)$ with complex-valued, bounded, measurable coefficients in a Lipschitz domain $Ω$, with boundary data in Besov spaces. The main hypothesis under which our principal result is established is in the nature of best possible and requires that, at small scales, the mean oscillations of the unit normal to $\partialΩ$ and of the coefficients of the differential operator ${\mathcal L}(x,D_x)$ are not too large.
dc.description54 pages
dc.identifierhttps://arxiv.org/abs/math/0505372
dc.identifierhttp://arxiv.org/abs/math/0505372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75227
dc.subjectAnalysis of PDEs
dc.subject35G15, 35J55, 35J40, 35J67, 35E05, 46E39
dc.titleThe Dirichlet problem in Lipschitz domains with boundary data in Besov spaces for higher order elliptic systems with rough coefficients
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