4: PARTIAL DIFFERENTIAL EQUATIONS

The following sections are included:

• Classification of Second-Order Equations

• Boundary Conditions for Well-Posed Problems

• Method of Separation of Variables

• Problems with Cylindrical Boundaries

• Application of Green's Second Identity: Green's Function

• The Dirac Delta Function in Three Dimensions

• The Method of Images

• Green's Function for the Wave Equation

• Fourier Transforms

• Application of Fourier Transforms to the Solution of Partial Differential Equations