Further Examples
- Let n = 1 and let the subset be all of R. Let L be d/dx. Then, the Heaviside step function H(x − x0) is a Green's function of L at x0.
- Let n = 2 and let the subset be the quarter-plane { (x, y) : x, y ≥ 0 } and L be the Laplacian. Also, assume a Dirichlet boundary condition is imposed at x = 0 and a Neumann boundary condition is imposed at y = 0. Then the Green's function is
Read more about this topic: Green's Function
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