论文标题

洛斯科特·鲁德尼基(Loskot-Rudnicki)的不平等和库奇问题的一般熵不平等,以保持积极性

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

论文作者

Bernard, Etienne

论文摘要

广义相对熵不平等是用于物理或生物学应用的数学模型中的无处不在特性。尽管它具有重要意义,但目前在文献中逐案证明了它。在这里,我们表明GRE实际上是Loskot-Rudnicki不平等的一般后果,它让人联想到Jensen的不平等。

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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