You should've mentioned that this is one of several uniqueness theorems (this one is for Dirichlet problem). In particular, in Electrostatics there is another one for the case when the charges on the conductors are fixed . For example, if you place uncharged sphere in the electric field, the theorem you presented is not useful.
Love your work! You explained well in this video, thank you so much for uploading this.
Thank you!
You should've mentioned that this is one of several uniqueness theorems (this one is for Dirichlet problem). In particular, in Electrostatics there is another one for the case when the charges on the conductors are fixed . For example, if you place uncharged sphere in the electric field, the theorem you presented is not useful.
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.
Thanks for watching. I'm not sure, I'm afraid your question is a little outside my area of expertise!
amazing video, impeccable work.
Many thanks!
Agree