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