Speaker
Ludovic Godard-Cadillac
(Nantes Université)
Description
We define a new rearrangement, called rearrangement by tamping, for non-negative measurable functions defined on $\mathbb{R}_+$. 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. This presentation aims at presenting the construction of the rearrangement by tamping (with an algorithmic approach) and some recent developments around this idea.
Primary author
Ludovic Godard-Cadillac
(Nantes Université)
