The Neumann function N(x, y) for a domain D is dened

Chapter 7, Problem 21

(choose chapter or problem)

The Neumann function N(x, y) for a domain D is dened exactly like the Greens function in Section 7.3 except that (ii) is replaced by the Neumann boundary condition (ii) N n =c forx bdy D. for a suitable constant c. (a) Show that c=1/A, where A is the area of bdy D.( c=0 ifA= ) (b) StateandprovetheanalogofTheorem7.3.1,expressingthesolution of the Neumann problem in terms of the Neumann function.

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