3. Weak Solutions to Hyperbolic Equations

  1. J. David Logan

Published Online: 29 OCT 2007

DOI: 10.1002/9780470287095.ch3

An Introduction to Nonlinear Differential Equations, Second Edition

An Introduction to Nonlinear Differential Equations, Second Edition

How to Cite

Logan, J. D. (2008) Weak Solutions to Hyperbolic Equations, in An Introduction to Nonlinear Differential Equations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470287095.ch3

Author Information

  1. Willa Cather Professor of Mathematics, University of Nebraska, Lincoln, Department of Mathematics, Lincoln, NE

Publication History

  1. Published Online: 29 OCT 2007
  2. Published Print: 28 MAR 2008

ISBN Information

Print ISBN: 9780470225950

Online ISBN: 9780470287095

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Keywords:

  • hyperbolic equations;
  • weak solutions;
  • genuine solutions;
  • smooth solutions;
  • partial derivatives

Summary

This chapter contains sections titled:

  • Discontinuous Solutions

  • Jump Conditions

  • Shock Formation

  • Applications

  • Weak Solutions: A Formal Approach

  • Asymptotic Behavior of Shocks