4

The Green formula is well-known for smooth bounded domains of $\mathbb R^d$. My question is:

What is the minimal regularity known for domains where Green's formula still holds?

Migalobe
  • 395
  • 3
    "Set of finite perimeter" is a kind of distributional notion of a set for which Green's formula is valid. There are sophisticated characterizations of these due to De Giorgi, Federer, etc. If you mean something other than this, it's probably a good idea to be specific with exactly what you are referring to as "Green's formula." – user378654 Oct 06 '21 at 23:23
  • 2
    This Q&A is really relevant, in such a way that it could be misunderstood as a duplicate. Less deep, but more detailed, also this Q&A could be of some help. – Daniele Tampieri Oct 07 '21 at 21:40

0 Answers0