Definition of Poisson's equation in US English:

Poisson's equation

noun

Physics Mathematics
  • The generalization of Laplace's equation produced by replacing the zero of the right-hand side by a constant or, more generally, by a specified function of position.

Origin

Late 19th century; earliest use found in James Clerk Maxwell (1831–1879), physicist. Discussed by Poisson in Nouveau bull. des sci. par la Soc. Philomatique de Paris 3 390.