Uniqueness theorem for Poissons equation

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Proving an important theorem that has applications in electrostatics and Newtonian gravity. The theorem states that solutions to Poisson's equation are unique, possibly up to an additive constant (depending on whether Dirichlet or Neumann boundary conditions are given). • About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics Maths up to A Level standard. • My website: https://benyelverton.com/ • #physics #mathematics #maths #math #poisson #equation #PDEs #laplacian #operator #vectorcalculus #vectors #calculus #boundaryconditions #dirichlet #neumann #uniqueness #theorem #gradient #divergence #gravity #electromagnetism #electrostatics #science #education

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