Lp estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains

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dc.creatorMaz'ya, Vladimir G.
dc.creatorRossmann, Juergen
dc.date2004-12-21
dc.date.accessioned2026-07-07T04:31:45Z
dc.date.available2026-07-07T04:31:45Z
dc.descriptionA mixed boundary value problem for the Stokes system in a polyhedral domain is considered. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the sides of the polyhedron. The authors prove the existence of solutions in (weighted and non-weighted) $L_p$ Sobolev spaces and obtain regularity assertions for weak solutions. The results are based on point estimates of Green's matrix.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0412073
dc.identifierhttp://arxiv.org/abs/math-ph/0412073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57935
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35J25; 35J55; 35Q30
dc.titleLp estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains
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