can you solve it please

what information do you need?

I want it all if you please because I must submit it soon, but if you can't please solve a,b and c.

I mean as much as u can please.

appreciated

thank you in advance

0 X = 0 Exercise 5. a) Assume that u is a harmonic function in the upper half plane R" such that u = 0 on DR". We write an element (u(x',x) X,>0 X E R" as follows x = (X1, X2, X-1, Xn) = (x",xn). Prove that v(x) = {-u(x', -x). X, 1. Remark: One can show switching derivatives and integrals and proceeding as we did in class for balls with little more integration that this is actually a solution, and since it is bounded then by part b), it is the unique bounded solution, see "Partial Differential equations" Evans. 2x NAT 0 X = 0 Exercise 5. a) Assume that u is a harmonic function in the upper half plane R" such that u = 0 on DR". We write an element (u(x',x) X,>0 X E R" as follows x = (X1, X2, X-1, Xn) = (x",xn). Prove that v(x) = {-u(x', -x). X, 1. Remark: One can show switching derivatives and integrals and proceeding as we did in class for balls with little more integration that this is actually a solution, and since it is bounded then by part b), it is the unique bounded solution, see "Partial Differential equations" Evans. 2x NAT