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arXiv · 2409.16892

Strong convergence of sequences with vanishing relative entropy

Nuno J. Alves·Jakub Skrzeczkowski·Athanasios E. Tzavaras
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Abstract

We show that under natural growth conditions on the entropy function, convergence in relative entropy is equivalent to $L_p$-convergence. The main tool is the theory of Young measures, in a form that accounts for the formation of concentrations in weak limits.

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Nuno J. Alves, Jakub Skrzeczkowski, Athanasios E. Tzavaras. 2024-09-25. Strong convergence of sequences with vanishing relative entropy. https://arxiv.org/abs/2409.16892

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