What happens in Prob 7 if you replace the potential by its conjugate harmonic Data from Prob 7 Let D 0 x 1 2 , 0 y 1 D the image of D under w sin z and u 2 v 2 What is the corresponding potential in D What are its boundary values Sketch D and D

Question: What happens in Prob. 7 if you replace the potential by its conjugate harmonic? Data from Prob. 7 Let D: 0 x 1/2

What happens in Prob. 7 if you replace the potential by its conjugate harmonic?

Data from Prob. 7

Let D: 0 ≤ x ≤ 1/2 π, 0 ≤ y ≤ 1; D* the image of D under w = sin z; and Φ* = u² - v². What is the corresponding potential Φ in D? What are its boundary values? Sketch D and D*.

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