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Second Order Linear Equations with Constant Coefficients

Part of the Applied Mathematical Sciences book series (AMS, volume 1)

Abstract

We are beginning with the simpler equations and will try to develop methods which may be used for the more general cases. Consider then the second order linear equation with constant coefficients
$$a{u_{xx}}\; + \;2b{u_{xy}}\; + \;c{u_{yy}}\; + \;2d{u_x}\; + \;2e{u_y}\; + \;fu\; = \;h(x,y)\,.\;$$
(1)

Keywords

Harmonic Function Dirichlet Problem Fundamental Solution Heat Equation Constant Coefficient 
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-Verlag New York Inc. 1975

Authors and Affiliations

  • F. John
    • 1
  1. 1.Courant InstituteNew York UniversityNew YorkUSA

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