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Well-posedness of the Cauchy problem for $n\times n$ systems of conservation laws

About this Title

Alberto Bressan, Graziano Crasta and Benedetto Piccoli

Publication: Memoirs of the American Mathematical Society
Publication Year 2000: Volume 146, Number 694
ISBNs: 978-0-8218-2066-7 (print); 978-1-4704-0285-3 (online)
MathSciNet review: 1686652
MSC: Primary 35L65; Secondary 47H20

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Table of Contents


  • 1. Introduction
  • 2. Outline of the proof
  • 3. Construction of local semigroups
  • 4. Restarting procedures
  • 5. Proof of Proposition 2.4
  • 6. Proof of Proposition 2.5
  • 7. Proof of Proposition 2.7
  • 8. Proof of Proposition 2.10
  • 9. Proof of Proposition 2.15
  • 10. Completion of the proof
  • 11. Appendix