Author(s):
Rodrigues, José Francisco 
; Santos, Lisa ; Urbano, J. M.
Date: 2009
Persistent ID: http://hdl.handle.net/1822/9724
Origin: RepositóriUM - Universidade do Minho
Document details
The nonlinear N-membranes evolution problem
Description
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 behavio,r as t tends to infinity, of the solution and the coincidence sets, showing that they converge to their stationary counterparts.
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 behavio,r as t tends to infinity, of the solution and the coincidence sets, showing that they converge to their stationary counterparts.
Document Type
Article
Language English
Language English
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