In mathematics, Poisson's equation is a partial differential equation of elliptic type with broad utility in electrostatics, mechanical engineering and theoretical physics. (Def: https://en.wikipedia.org/wiki/Poisson%27s_equation)
In mathematics, Poisson's equation is a partial differential equation of elliptic type with broad utility in electrostatics, mechanical engineering and theoretical physics. It is given by $\nabla^2\varphi=f$ where $\varphi,f$ are real- or complex-valued functions on a manifold. Reference: Wikipedia.
It is used, for instance, to describe the potential energy field caused by a given charge or mass density distribution.
