Formally solve the following boundary value problem

1. The problem statement, all variables and given/known data

Formally solve the following boundary value problem using Fourier Transforms.

2. Relevant 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]


3. The attempt at a solution
???
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
 

berkeman

Mentor
54,317
4,723
That's 3 posts and no work shown on any one of them. You *must* show an attempt at a solution, or we cannot be of help to you. Please click on the "Rules" link at the top of the page.
 

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top