The nonlinear N-membranes evolution problem

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dc.creatorRodrigues, José Francisco
dc.creatorSantos, Lisa
dc.creatorUrbano, José Miguel
dc.date2008-12-09
dc.date.accessioned2026-07-07T12:10:47Z
dc.date.available2026-07-07T12:10:47Z
dc.descriptionThe parabolic N-membranes problem for the p-Laplacian and the complete order constraint on the components of the solution is studied in what concerns the approximation, the regularity and the stability of the variational solutions. We extend to the evolutionary case the characterization of the Lagrange multipliers associated with the ordering constraint in terms of the characteristic functions of the coincidence sets. We give continuous dependence results, and study the asymptotic behavior as $t \to \infty$ of the solution and the coincidence sets, showing that they converge to their stationary counterparts.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0812.1646
dc.identifierhttp://arxiv.org/abs/0812.1646
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210031
dc.subjectAnalysis of PDEs
dc.subject35R35; 35R45; 35K65; 47J20
dc.titleThe nonlinear N-membranes evolution problem
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