Second Order Linear Equations with Constant Coefficients

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


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
$$a{u_{xx}}\; + \;2b{u_{xy}}\; + \;c{u_{yy}}\; + \;2d{u_x}\; + \;2e{u_y}\; + \;fu\; = \;h(x,y)\,.\;$$


Harmonic Function Dirichlet Problem Fundamental Solution Heat Equation Constant Coefficient 
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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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