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Creators/Authors contains: "Talamini, Luca"

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  1. For a scalar conservation law with strictly convex flux, by Oleinik’s estimates the total variation of a solution with bounded measurable initial data decays like 1/t. This paper introduces a class of intermediate domains where a faster decay rate is achieved. A key ingredient of the analysis is a “Fourier-type” decomposition of u into components which oscillate more and more rapidly. The results aim at extending the theory of fractional domains for analytic semigroups to an entirely nonlinear setting. 
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    Free, publicly-accessible full text available March 1, 2026