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modeiry88
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Homework Statement
Formally solve the following boundary value problem using Fourier Transforms.
Homework Equations
([tex]\partial[/tex][tex]^{2}[/tex]u/[tex]\partial[/tex]x[tex]^{2}[/tex])+([tex]\partial[/tex][tex]^{2}[/tex]u/[tex]\partial[/tex]y[tex]^{2}[/tex]) = 0
(-[tex]\infty[/tex]<x<[tex]\infty[/tex],0<y<1)
u(x,0)= exp[tex]^{-2|x|}[/tex]
(-[tex]\infty[/tex]<x<[tex]\infty[/tex])
u(x,1)=0
(-[tex]\infty[/tex]<x<[tex]\infty[/tex])
u(x,y)[tex]\rightarrow[/tex] 0 uniformaly in y as |x| [tex]\rightarrow[/tex][tex]\infty[/tex]
The Attempt at a Solution
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