Question: Let u(r, 6) be a harmonic function in the disk D = {(M9) l0 5 1 Let u(r, 0) be a harmonic function in the

Let u(r, 0) be a harmonic function in the disk D =

Let u(r, 6) be a harmonic function in the disk D = {(M9) l0 5 1\"

Let u(r, 0) be a harmonic function in the disk D = {(r, 0) 10 r < R, T < 0 < T}, such that u is continuous in the closed disk D and satisfies sin2(20) 101 ; , {0 i) Evaluate u(0, 0) without solving the P DE. ; < 101 ST. ii) Show that the inequality 0 < u(r, 0) < 1 holds at each point (r, 0) in the disk.

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