PS7 - 4 Strauss 6.2#3-Harmonic function in a square 5...

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MATH 412: Problem Set 7 due Tuesday, April 15, 2008 1. Strauss 5.4 #5 - Step function and convergence 2. Strauss 6.1 #4 - Laplace’s equation in a spherical shell 3. Strauss 6.1 #6 - Laplace’s equation in a ring - (HINT: transform to polar coordinates)
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Unformatted text preview: 4. Strauss 6.2 #3 -Harmonic function in a square 5. Strauss 10.1 #2 -Wave equation in a rectangle 6. Strauss 10.1 #4(a) -positive eigenvalues- (HINT: use the Divergence Thm on p.423, with f = ∇ u , and multiply by u )...
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