Uniqueness theorem for Poisson's equation: Difference between revisions

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The '''uniqueness theorem''' for [[Poisson's equation]] states that, thefor equationa haslarge aclass uniqueof [[gradientboundary condition]] ofs, the solutionequation formay ahave largemany classsolutions, but the gradient of [[boundaryevery condition]]ssolution is the same. In the case of [[electrostatics]], this means that ifthere anis a unique [[electric field]] satisfyingderived thefrom boundarya conditionspotential isfunction found,satisfying thenPoisson's itequation isunder the completeboundary electric fieldconditions.

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==Proof==