Sharp $L^1$ estimates for singular transport equations
Analysis of PDEs
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We provide estimates for a class of transport equations containing singular integral operators. While our main application is for a specific problem in General Relativity we believe that the phenomenon which our result illustrates is of a more general interest.
Keywords
Cite
@article{arxiv.0704.3866,
title = {Sharp $L^1$ estimates for singular transport equations},
author = {Sergiu Klainerman and Igor Rodnianski},
journal= {arXiv preprint arXiv:0704.3866},
year = {2007}
}