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Involutive Hyperbolic Differential Systems Book PDF Summary

The Cartan-Kähler theorem demonstrates that certain real analytic exterior differential systems--ones which Cartan dubbed "involutive"--admit local real analytic solutions. The proof reduces the system to a set of determined systems of PDE's which are then solved using the Cauchy-Kovalevski theorem. The subtlety in the theorem and in the definition of involutivity lies in checking that the "solution" obtained from the determined systems does in fact satisfy the original differential system.

Detail Book of Involutive Hyperbolic Differential Systems PDF

Involutive Hyperbolic Differential Systems
  • Author : Deane Yang
  • Release : 22 September 1987
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821824337
  • Genre : Mathematics
  • Total Page : 109 pages
  • Language : English
  • PDF File Size : 18,5 Mb

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