PDE 31: Helmholtz equation
This is an elliptic PDE. You should consider 2D. It is important in phenomena of wave propagation.
\[\nabla^2 A+ k^2 A =0, \]
where \(A=A(x,y,z)\) is the wave amplitude and \(k\) is the wave number.
Google-åte: Helmholtz equation, scattering of waves.