, Volume 11, Issue 3, pp 225-256

Continuity of Usual Operations and Variational Convergences

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Abstract

Given convergent sequences of functions (f n ) and (g n ), we look for conditions ensuring that the sequences (f n +g n ), (max (f n ,g n )) and (f n  □ g n ) converge, □ being the infimal convolution. The convergences we use are variational convergences. This study is motivated by applications to Hamilton–Jacobi equations.