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  3. 8 consider the neumann problem for poissons equatioin rad u...

Question: 8 consider the neumann problem for poissons equatioin rad u...

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8. Consider the Neumann problem for Poissons equatioin rad u Here the operator -, smooth boundarv surfaceS Ξ n. g a2 02 др Ђуг み2 0 on the boundary S of D is the 3- dimensional Laplacian, grad is and D is some bounded region in R3with (a) What can be added to any solution u to get another solution....indicating that we dont have uniqueness of solution? (b) Use the Divergence Theorem and the PDE to show that f(x, y, z)dxdydz - 0 is a necessary condition for this Neumann problem to be solvable

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