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Title: The nonlinear N-membranes evolution problem
Authors: Rodrigues, José Francisco 
Santos, Lisa 
Urbano, José Miguel 
Keywords: Variational inequality; P-Laplacian; Stability; Asymptotic behaviour; Coincidence set
Issue Date: 2008
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 08-58 (2008)
Abstract: The 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 → ∞ of the solution and the coincidence sets, showing that they converge to their stationary counterparts.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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