Newtonian Potential

— 1. Definition of Newtonian Potential —

Definition 1 Let {\Omega} be a bounded open set, we define the Newtonian potential of {f} is the function {N_f} on {{\mathbb R}^n} by

\displaystyle N_f(x) = \int_\Omega \Gamma(x-y) f(y)\, dy,

where {\Gamma} is the fundamental solution of Laplace’s equation.

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