- #1
member 428835
Homework Statement
$$u_{xx} + u_{yy} = 0 : x < 0, -\infty < y < \infty$$
Homework Equations
We can use Fourier Transform, which is defined over some function ##f(x)## as ##F(f(x)) = 1/ 2\pi \int_{-\infty}^{\infty} f(x) \exp (i \omega x) dx##.
The Attempt at a Solution
Using the Fourier transform in the variable ##y## I find that $$F(u) = F(g(y)) \exp (\omega x)$$ From here I would use convolution but I don't know the inverse of ## \exp (\omega x) ##. Any help here (or if I should have used a Fourier cosine/sine transform instead?