APM346-2016F > FE

FE7

(1/2) > >>

Victor Ivrii:
Solve using (partial) Fourier transform with respect to $y$
\begin{align}
&\Delta u:=u_{xx}+u_{yy}=0, &&x>0,\label{7-1}\\
&u|_{x=0}= g(y),\label{7-2}\\
&\max |u|<\infty\label{7-3}
\end{align}
with $g(y)=\frac{2}{y^2+1}$.

Hint. Fourier transform of $g(y)$ is $\hat{g}=e^{-|\eta|}$.

Sajjan Heerah:
My solution attempt to 7

brycewu:
I got a different answer...

Sajjan Heerah:
I'm pretty sure I made a sign error and I have an extra 1/sqrt(2pi) factor

Sajjan Heerah:
I think my error was that I missed that there should be an absolute value on the frequency term when you solve the transformed problem, guess that means I did this wrong on the exam

Navigation

[0] Message Index

[#] Next page