Chapter 3Laplace’s Equation in Two Dimensions
Properties of the twodimensional Laplace equation:
 V(x,y) is the average of V around this point:





where R is the radius of the circle around (x,y) used in the evaluation of the line integral.
 The solution of Laplace's equation can not have local maxima or minima. Extreme values must occur at the end points (the boundaries).