We follow the main structure of [1], and refer to [3] and [2, Chapter 3,5,7] for detailed exposition. We use notes by Tao, T. to present the last topic.

  1. Alinhac, S, Hyperbolic partial differential equations, an elementary introduction, 2008, http://www.math.u-psud.fr/~alinhac/tot1.pdf
  2. Evans, L, Partial differential equations. Second edition. Graduate Studies in Mathematics, 19. American Mathematical Society, 2010.
  3. John, F, Partial differential equations. Fourth edition. Applied Mathematical Sciences,1. Springer-Verlag, New York, 1982
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