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Unformatted text preview: F . (iii) Explain why the scalar potential must satisfy Laplaces equation, and verify that your scalar potential does so. [5+5+5=15 pts.] 3. Prove that solutions to Laplaces equation 2 f = 0 in a compact volume V are uniquely determined the values of f on the closed boundary surface V . [5 pts.] ( Hint : Suppose two solutions f 1 and f 2 agree on V . Consider the function g = f 2-f 1 , and remember what you know about maxima and minima of harmonic functions.) 4. Gravity waves on water supplement, Exercise a . [3+2=5 pts.]...
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This note was uploaded on 12/29/2011 for the course PHYSICS 374 taught by Professor Jacobson during the Fall '10 term at Maryland.
- Fall '10