Lyapunov functionals for the heat equation and sharp inequalities
DOI:
https://doi.org/10.1478/AAPP.91S1A18Abstract
The heat equation represents a powerful instrument to obtain a number of mathematical inequalities in sharp form. This may be not so well-known property goes back more or less to half a century ago, when independently from each others, researchers from information theory [22, 6] and kinetic theory [20] established a useful connection between Boltzmann’s H-functional and Fisher information exactly by means of the solution to the heat equation. In this note, we briefly discuss these original ideas, together with some new application.
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Published
2013-01-29
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Special issue in memory of Prof. Giovanni Crupi
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