Sharp L¹ estimates for singular transport equations

2007/04/30 by Sergiu Klainerman, Igor Rodnianski, Klainerman, Sergiu +1
Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.AP #math.CA

paper · pdf · doi:10.48550/arxiv.0704.3866

arxiv created 2007/04/30 · arxiv updated 2009/12/01

Abstract

We provide L¹ 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.

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