Strong convergence of sequences with vanishing relative entropy

2024/09/25 by Nuno J. Alves, Alves, Nuno J., Jakub Skrzeczkowski +3
Computer Science · Mathematics · #28A20 #35B40 #46N10 #49J45 #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #FOS: Mathematics #Mathematical Approximation and Integration #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2409.16892

openalex publication_date 2024/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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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