Can anyone prove the uniqueness of solutions for the laplace equation?

Question

anonymous · Answer

I can't, personally, but the internet can! http://www-solar.mcs.st-and.ac.uk/~andy/LectureNotes/Fundamentals1/node52.html This proof involves a bit of vector calculus, which I presume you know...

anonymous · Answer

Basically it's a proof by contradiction, assume that two different solutions exist and then show that their difference is zero on the entire domain (ie, that they are equal).

anonymous · Answer

Thanks, I'll take a look through it

anonymous · Answer

You really should ask these kinds of questions on the physics forum. Those people are much smarter.

anonymous · Answer

Yea I post on physicsforms.com sometimes, they always know what they're doing, but usually takes longer