This mathematician's namesake operator generalizes to one named for him and Beltrami that is equal to the trace of the Hessian on a Riemannian manifold.
This mathematician's namesake operator generalizes to one named for him and Beltrami that is equal to the trace of the Hessian on a Riemannian manifold. Earnshaw's theorem relies on this mathematician's statement that the electric force from a potential will always be divergenceless; that version of this man's namesake equation is satisfied by harmonic functions. This man, whose namesake equation is a special case of the (*) Poisson equation, is the namesake of an integral process that is used to turn differential equations into algebraic equations. The divergence of the gradient of a function is equal to this man's operator often symbolized with an inverted triangle and a 2 in the superscript. For 10 points, name this French mathematician names the del-squared operator.
This mathematician's namesake operator generalizes to one named for him and Beltrami that is equal to the trace of the Hessian on a Riemannian manifold.
Pierre-Simon Laplace 