Tamped functions: A rearrangement in dimension 1
Analysis of PDEs
2019-11-28 v1 Functional Analysis
Abstract
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 P{\'o}lya-Szeg{\"o} inequality. Contrary to the Schwarz rearrangement, the tamping also preserves the homogeneous Dirichlet boundary condition of a function.
Keywords
Cite
@article{arxiv.1911.12147,
title = {Tamped functions: A rearrangement in dimension 1},
author = {Ludovic Godard-Cadillac},
journal= {arXiv preprint arXiv:1911.12147},
year = {2019}
}