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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]u/[tex]\partial[/tex]t = ([tex]\partial[/tex][tex]^{2}[/tex]u/[tex]\partial[/tex]x[tex]^{2}[/tex])+([tex]\partial[/tex]u/[tex]\partial[/tex]x)
(-[tex]\infty[/tex]<x<[tex]\infty[/tex],t>0)
u(x,0)=[tex]\Phi[/tex](x)
(-[tex]\infty[/tex]<x<[tex]\infty[/tex])
u(x,t) is bounded for -[tex]\infty[/tex]<x<[tex]\infty[/tex],t[tex]\geq[/tex]0
The Attempt at a Solution
Cannot come up with a solution