just wondering if someone out there could give me a hand with the following problem.
u(x,y) multiplied by a biharmonic operator =0.
The question is asking us to prove that this can be satisfied by S(x,k) = (S"(x,k)-k^2*S(x,k)) = 0 (which is straight forward enough)
but then to solve the function with respect to the boundary conditions:
u_x(0,y)=0 and u_y(0,y)=f(y) using Fourier Transforms.
I then have to solve the system using the convolution theorem.
if anyone is a bit of a whiz with this sort of thing, could you give me a hand?
id really appreciate it.