5. The Heat Equation

  1. Peter V. O'Neil

Published Online: 24 OCT 2011

DOI: 10.1002/9781118032350.ch5

Beginning Partial Differential Equations, Second Edition

Beginning Partial Differential Equations, Second Edition

How to Cite

O'Neil, P. V. (2008) The Heat Equation, in Beginning Partial Differential Equations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118032350.ch5

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:

  • weak maximum principle;
  • bounded intervals;
  • non-homogeneous heat equation;
  • two space variables;
  • Cauchy problem

Summary

This chapter contains sections titled:

  • The Cauchy Problem and Initial Conditions

  • The Weak Maximum Principle

  • Solutions on Bounded Intervals

  • The Heat Equation on the Real Line

  • The Heat Equation on the Half-Line

  • The Debate Over the Age of the Earth

  • The Nonhomogeneous Heat Equation

  • The Heat Equation in Two Space Variables