We have seen that Newtonian potentials are solutions of Laplace’s equation at points free from masses. We shall soon learn that solutions of Laplace’s equation are always Newtonian potentials, so that in studying the properties of such solutions, we are also studying the properties of Newtonian fields. We shall find that a surprising number of general properties follow from the mere fact that a function satisfies Laplace’s equation, or is harmonic, as we shall say.
KeywordsHarmonic Function Interior Point Normal Derivative Divergence Theorem Closed Region
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