Formally solve the following boundary value problem

[modeiry88]

Homework Statement

Formally solve the following boundary value problem using Fourier Transforms.

Homework Equations

(\partial^{2}u/\partialx^{2})+(\partial^{2}u/\partialy^{2}) = 0

(-\infty<x<\infty,0<y<1)

u(x,0)= exp^{-2|x|}

(-\infty<x<\infty)

u(x,1)=0


(-\infty<x<\infty)

u(x,y)\rightarrow 0 uniformaly in y as |x| \rightarrow\infty

The Attempt at a Solution

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[berkeman]

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