Question: Problem 7 (Laplace's equation in a rectangle, Haberman 2.5.2) Under what condi- tions does the following boundary value problem for Laplace's equation fail to have

Problem 7 (Laplace's equation in a rectangle, Haberman 2.5.2) Under what condi- tions does the following boundary value problem for Laplace's equation fail to have a solution? Wer + Uyy = 0 on (0, L) x (0, M ) up(0, y) = 0 = up(L,y), t>0 By (I, 0) = 0, 0

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