Strong convergence of sequences with vanishing relative entropy
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912996729552896 |
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| author | Alves, Nuno J. Skrzeczkowski, Jakub Tzavaras, Athanasios E. |
| author_facet | Alves, Nuno J. Skrzeczkowski, Jakub Tzavaras, Athanasios E. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16892 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong convergence of sequences with vanishing relative entropy Alves, Nuno J. Skrzeczkowski, Jakub Tzavaras, Athanasios E. Analysis of PDEs 35B40, 28A20, 49J45, 46N10 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. |
| title | Strong convergence of sequences with vanishing relative entropy |
| topic | Analysis of PDEs 35B40, 28A20, 49J45, 46N10 |
| url | https://arxiv.org/abs/2409.16892 |