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Second-Order Linear Parabolic Equations

  • Joel Smoller
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 258)

Abstract

Parabolic equations arise in diffusion processes, and more generally in “irreversible” time-dependent processes. Mathematically, this is reflected in the fact that the equations are not invariant under the reversal of time ; i.e., under the transformation t → —t. This means that knowledge about the “past” is lost as time increases. For example, there may be dissipation effects which lead to an increase in entropy and a consequent loss of information.

Keywords

Line Segment Parabolic Equation Heat Equation Auxiliary Function Horizontal Segment 
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 1994

Authors and Affiliations

  • Joel Smoller
    • 1
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA

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