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The existence of multidimensional shock fronts


About this Title

Andrew Majda

Publication: Memoirs of the American Mathematical Society
Publication Year 1983: Volume 43, Number 281
ISBNs: 978-0-8218-2281-4 (print); 978-1-4704-0691-2 (online)
DOI: http://dx.doi.org/10.1090/memo/0281
MathSciNet review: 699241
MSC (1991): Primary 35L67; Secondary 35B99, 73D05, 76L05

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Table of Contents


Chapters

  • 0. Introduction
  • 1. Structural conditions and shock front initial data: Some preliminary facts
  • 2. The map to a fixed domain, compatibility conditions, and an approximate solution
  • 3. The iteration scheme
  • 4. Convergence of the iteration scheme
  • 5. The main linear estimate
  • Appendix