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Loskot-Rudnicki's inequality and General Relative Entropy inequality for Cauchy problems preserving positivity

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Résumé

The Generalized Relative Entropy inequality is a ubiquitous property in mathematical models applied in physics or biology. In spite of its importance, it is currently proved on a case-by-case basis in the literature. Here, we show that GRE is actually a generic consequence of Loskot-Rudnicki's inequality that is reminiscent of Jensen's inequality.
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Dates et versions

hal-03560418 , version 1 (07-02-2022)
hal-03560418 , version 2 (24-06-2022)

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  • HAL Id : hal-03560418 , version 2

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Étienne Bernard. Loskot-Rudnicki's inequality and General Relative Entropy inequality for Cauchy problems preserving positivity. 2022. ⟨hal-03560418v2⟩
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