Sharp L1 estimates for singular transport equations

• Autores: Sergiu Klainerman, Igor Rodnianski
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 2, 2008, págs. 477-505
• Idioma: inglés
• DOI: 10.4171/jems/119
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• Resumen

  • We provide L1 estimates for a transport equation which contains singular integral operators. The form of the equation was motivated by the study of Kirchhoff�Sobolev parametrices in a Lorentzian space-time verifying the Einstein equations. 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.