Chem Differential Eq HW Solutions Fall 2011 153

Chem Differential Eq HW Solutions Fall 2011 153 - Section...

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Section 12.3 Green’s Functions 153 Solutions to Exercises 12.3 1. We have ± Γ G ( x, y, x 0 ,y 0 ) ds =0 , because G ( x, y, x 0 ,y 0 ) = 0 for all ( x, y ) on Γ (Theorem 3(ii)). 5. Let u ( x, y )= x , then u is harmonic for all ( x, y ) and so, by Theorem 2,
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