What type of a PDE $-Lu = g(u)$ compared to $-Lu = g(x,u)$?

Question

As far as I know, when $L$ is linear the pde $-Lu = g(x,u)$ is described as "semilinear". Is there a different word for $-Lu = g(u)$?

Answer 1

They are called autonomous semilinear equations. One of many examples.