2. Linear Second-Order Equations

  1. Peter V. O'Neil

Published Online: 24 OCT 2011

DOI: 10.1002/9781118032350.ch2

Beginning Partial Differential Equations, Second Edition

Beginning Partial Differential Equations, Second Edition

How to Cite

O'Neil, P. V. (2008) Linear Second-Order Equations, in Beginning Partial Differential Equations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118032350.ch2

Publication History

  1. Published Online: 24 OCT 2011
  2. Published Print: 20 MAR 2008

ISBN Information

Print ISBN: 9780470133903

Online ISBN: 9781118032350

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Keywords:

  • hyperbolic canonical form;
  • parabolic canonical form;
  • elliptic canonical form;
  • second-order Cauchy problem;
  • partial differential equation

Summary

This chapter contains sections titled:

  • Classification

  • The Hyperbolic Canonical Form

  • The Parabolic Canonical Form

  • The Elliptic Canonical Form

  • Some Equations of Mathematical Physics

  • The Second-Order Cauchy Problem

  • Characteristics and the Cauchy Problem

  • Characteristics as Carriers of Discontinuities