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Well-posedness for general $2\times 2$ systems of conservation laws

About this Title

Fabio Ancona and Andrea Marson

Publication: Memoirs of the American Mathematical Society
Publication Year 2004: Volume 169, Number 801
ISBNs: 978-0-8218-3435-0 (print); 978-1-4704-0399-7 (online)
MathSciNet review: 2044745
MSC: Primary 35L65; Secondary 35B30, 35L45

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Table of Contents


  • 1. Introduction
  • 2. Preliminaries
  • 3. Outline of the proof
  • 4. The algorithm
  • 5. Basic interaction estimates
  • 6. Bounds on the total variation and on the interaction potential
  • 7. Estimates on the number of discontinuities
  • 8. Estimates on shift differentials
  • 9. Completion of the proof
  • 10. Conclusion