Question: Problem 3: Let D = {x E R^2 : lxl < 1} denote the unit disk in R^2. Let u be the harmonic function on

Problem 3: Let D = {x E R^2 : lxl < 1} denote the unit disk in R^2. Let u be the harmonic function on D which satisfies the boundary

condition u(costheta ; sintheta ) = 1 for theta E (0; pi) and u(costheta ; sintheta) = -1 for theta E (-pi; 0). Please find u and express the result as a Fourier series in theta.

Should I separate vars by polar coords for this question?

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