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Unformatted text preview: subproblems. Let u 1 be harmonic in the upper halfplane and equal to 100 on the xaxis for 0 < x < 1 and 0 for all other values of x . Let u 2 be harmonic in the upper halfplane and equal to 20 on the xaxis for1 < x < 0 and 0 for all other values of x . Let u = u 1 + u 2 . Then u is harmonic in the upper halfplane and equal to 20 on the xaxis for1 < x < 0; 100 for 0 < x < 1; and 0 otherwise. (Just add the boundary values of u 1 and u 2 .) Thus u 1 + u 2 is the solution to our problem....
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This note was uploaded on 12/22/2011 for the course MAP 3305 taught by Professor Stuartchalk during the Fall '11 term at UNF.
 Fall '11
 StuartChalk

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