It is actually an electrostatic problem, I have to find the potential in the region descripted above using the laplace differential equation with the next boundary conditions: $V$ is $0$ in the straight sides and $V_0$ in the curve side.
The problem asks for me to solve the laplace equation in a semi-infinite strip first, where the finite side has a potential V and both infinite sides have a 0 potential, which is an standard variable separation problem and can be easily solved.
The first thing that confuses me is that it doesn't seem like a conformal mapping because any function that transform the first region into the second can't preserve angles. My question is if I do an approximation an convert my region into a triangle Does exist a function that can transform my triangle in an semi infinite strip?
Thanks in advance.