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**Home Assignment Y / Re: Problem 1**

« **on:**December 19, 2012, 02:19:38 PM »

The question says we should do it with a Fourier transform, but why don't I just take

$$u(x,y)=e^{-|y|-ix}$$? That does give me a zero Laplacian and satisfies the boundary condition, or am I wrong here?

$$u(x,y)=e^{-|y|-ix}$$? That does give me a zero Laplacian and satisfies the boundary condition, or am I wrong here?