Let ? be a smooth bounded domain. Consider the following problem Au =f in Q 1= g on an (2) B.u=h on an where f is a smooth function in ? and g, h are also smooth functions defined on 80. Suppose that Green's function G exists for this domain ?. Give a condition for the uniqueness of the solution of (2). The condition you gave can depend on the data (i.e. functions f,g and h) and G, but should not contain unknown function u. Show that the condition you gave is necessary and sufficient for uniqueness