By using the definition of Γ-convergence for vector valued functions given in Oppezzi and Rossi ([12]), we obtain a property of infimum values of the Γ-limit. By generalizing Mosco convergence to vector valued functions, we also obtain, in the convex case, the extension of some stability results analogous to the ones in Oppezzi and Rossi ([12]), when domain and value space are infinite dimensional.
A convergence for infinite dimensional vector valued functions
ROSSI, ANNA
2008-01-01
Abstract
By using the definition of Γ-convergence for vector valued functions given in Oppezzi and Rossi ([12]), we obtain a property of infimum values of the Γ-limit. By generalizing Mosco convergence to vector valued functions, we also obtain, in the convex case, the extension of some stability results analogous to the ones in Oppezzi and Rossi ([12]), when domain and value space are infinite dimensional.
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