chapter  1
54 Pages

Laplace's Equation

Laplace's equation is one of the most important partial dierential equa-

tions that arises in the application of mathematics to physical phenomena.

It occurs in diverse contexts, including electrostatics, magnetostatics, elas-

ticity, gravitation, steady-state heat conduction, incompressible uid ow,

and many related areas described in, for example, [44] and [13].