Uniqueness proof for Laplace equation (or Poisson equation), Dirichlet problem

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The Poisson equation is ubiquitous in physics, with electrostatics being the first place most students encounter it. Here I walk you through the proof that solutions are unique, which underlies the method of images and many other techniques for finding solutions.
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You make great videos. I hope you'll release more! :)

Effdeecompositions
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Thank you Dr. for your lecture . My question is is this uniqueness theorem is holds for sobolev space? If it is please one video for the proof of it.

Mathswithali
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For Neumann condition, you just stop at psi3 = constant right?

jaehaerys