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Abstract

Partial differential equations have been studied much less than ordinary differential equations. Part of the theory—that of a single partial differential equation of the first order—can be reduced to the study of special ordinary differential equations, the so-called characteristic equations. This is possible because, physically speaking, non-interacting particles can be described by either the partial differential equation of the field or ordinary equations for the particles.

Keywords

Cauchy Problem Tangent Plane Contact Structure Characteristic Direction Quasilinear Equation 
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 Science+Business Media New York 1988

Authors and Affiliations

  • V. I. Arnold
    • 1
  1. 1.Steklov Mathematical InstituteMoscow GSP-1USSR

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