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Partial Differential Equations of First Order and Contact Transformations

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 311)

Abstract

This chapter can to a large extent be read independently of the others and serves as an introduction to the theory of partial differential equations of first order and to Lie’s theory of contact transformations. Nevertheless the results presented here are closely related to the rest of the book, in particular to field theory (Chapter 6) and to Hamilton—Jacobi theory (Chapter 9).

Keywords

Cauchy Problem Contact Graph Contact Space Characteristic Vector Field Global Invertibility 
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 2004

Authors and Affiliations

  1. 1.Scuola Normale SuperiorePisaItaly
  2. 2.Mathematisches InstitutUniversität BonnBonnGermany

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