Séminaire EDP-Analyse ICJ

Tamped functions: A rearrangement in dimension 1

by Ludovic Godard-Cadillac (LMJL, Université de Nantes)

Séminaire 1 (ICJ)

Séminaire 1



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.