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10. Does there exist a harmonic function in z| < 1 taking the value 1 everywhere on |2| = 1? Is your solution unique?

10. Does there exist a harmonic function in z| < 1 taking the value 1 everywhere on |2| = 1? Is your solution unique?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10. Does there exist a harmonic function in |2| < 1 taking the value 1 everywhere on |2| = 1? Is your solution unique?
Transcribed Image Text:10. Does there exist a harmonic function in |2| < 1 taking the value 1 everywhere on |2| = 1? Is your solution unique?
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