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
Famous quotes containing the word examples:
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (18961966)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (16881744)