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Quasilinear Symmetric Systems

  • Hajer BahouriEmail author
  • Jean-Yves Chemin
  • Raphaël Danchin
Chapter
  • 4.4k Downloads
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 343)

Abstract

Chapter 4 is devoted to solving linear and quasilinear symmetric systems with data in Sobolev spaces. Blow-up criteria and results concerning the continuity of the flow map are also given. The case of data with critical regularity (in a Besov space) is also investigated.

Keywords

Sobolev Space Cauchy Sequence Energy Estimate Besov Space Symmetric System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Hajer Bahouri
    • 1
    Email author
  • Jean-Yves Chemin
    • 2
  • Raphaël Danchin
    • 3
  1. 1.Départment de Mathématiques, Faculté des Sciences de Tunis, Campus UniversitaireUniversité de Tunis El ManarTunisTunisia
  2. 2.Laboratoire Jacques-Louis LionsUniversité Pierre et Marie CurieParis Cedex 05France
  3. 3.Centre de Mathématiques, Faculté de Sciences et TechnologieUniversité Paris XII-Val de MarneCréteil CedexFrance

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