Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2021

Tamped functions: A rearrangement in dimension 1

Résumé

We define a new rearrangement, called rearrangement by tamping, for non-negative measurable functions defined on R+. This rearrangement has many properties in common with the well-known Schwarz non-increasing rearrangement such as the Pólya-Szegő inequality. Contrary to the Schwarz rearrangement, the tamping also preserves the homogeneous Dirichlet boundary condition of a function.

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hal-02376892 , version 1 (25-11-2019)

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Ludovic Godard-Cadillac. Tamped functions: A rearrangement in dimension 1. Nonlinear Analysis: Theory, Methods and Applications, 2021. ⟨hal-02376892⟩
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