Huygens' principle and anomalously small radiation tails

TL;DR

This paper discusses recent research on the asymptotic behavior of linear and nonlinear waves, focusing on Huygens' principle and the phenomenon of small radiation tails, presented at a mathematical physics conference.

Contribution

It provides new insights into wave decay and tail phenomena, combining linear and nonlinear analysis in the context of Huygens' principle.

Findings

Identification of conditions for small radiation tails

Analysis of wave decay rates

Comparison between linear and nonlinear wave behavior

Abstract

This is a short account of recent joint work with T. Chmaj and A. Rostworowski on asymptotic behavior of linear and nonlinear waves, as presented at the conference devoted to Myron Mathisson held at the Banach Center, Warsaw 2007.