Laplace’s equation in the exterior of a convex polygon. The equilateral triangle
Laplace’s equation in the exterior of a convex polygon. The equilateral triangle
A general method for studying boundary value problems for linear and for integrable nonlinear partial differential equations in two dimensions was introduced in Fokas, 1997.For linear equations in a convex polygon (Fokas and Kapaev (2000) and (2003), and Fokas (2001)), this method: (a) expresses the solution q(x, y) in the …