Is there a name for this differential equation?
I am studying the temperature $T$ of a wire that generates heat due to current flow. The electric resistivity is temperature dependent, so I end up with the equation:
$$\Delta T + \lambda T = f $$
If $\lambda = 0$ then it's the Poisson equation, but is there a name for this PDE in the case of $\lambda\neq 0$ ?
This is known as the inhomogeneous Helmholtz equation.