A general notion of G-convergence for sequences of maximal monotone operators of the form [Figure presented] is introduced in terms of the asymptotic behavior, as h → + ∞ of the solutions uh to the equations [Figure presented] and of their momenta ah(x, Duh). The main results of the paper are the local character of the G-convergence and the G-compactness of some classes of nonlinear monotone operators. © 2016 L'Association Publications de l'Institut Henri Poincaré
G-convergence of monotone operators / CHIADO' PIAT, V.; Dal Maso, Gianni; Defranceschi, A.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 7:3(1990), pp. 123-160. [10.1016/S0294-1449(16)30298-0]
G-convergence of monotone operators
Dal Maso, Gianni;
1990-01-01
Abstract
A general notion of G-convergence for sequences of maximal monotone operators of the form [Figure presented] is introduced in terms of the asymptotic behavior, as h → + ∞ of the solutions uh to the equations [Figure presented] and of their momenta ah(x, Duh). The main results of the paper are the local character of the G-convergence and the G-compactness of some classes of nonlinear monotone operators. © 2016 L'Association Publications de l'Institut Henri Poincaré| File | Dimensione | Formato | |
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