What does the term "regularity" mean? - Mathematics Stack Exchange
Aug 23, 2015 · When I was an undergraduate, I took a course on regularity theory for nonlinear elliptic systems. This included topics such as the direct method of calculus of variations, mollifiers, …
Do we really need the axiom of regularity? [duplicate]
We don't really need the Axiom of Regularity in ZFC. Having it is a matter of convenience. We've known since the 1930s that if the variant of Zermelo-Fraenkel set theory that lacks the axiom of regularity is …
Help understanding the axiom of regularity - Mathematics Stack …
Oct 6, 2019 · Usual mathematical results (like propositions on analysis and geometry) would not need the axiom of regularity, but some deeper set theory heavily relies on the axiom of regularity. As a …
Definition of regularity in PDE theory - Mathematics Stack Exchange
Jul 26, 2017 · Regularity is one of the vague yet very useful terms to talk about a vast variety of results in a uniform way. Other examples of such words include "dynamics" in dynamical systems (I have …
Non-existence of self containing sets due to Axiom of Regularity in ...
Feb 1, 2025 · Most opinions I've seen on the topic where that the Axiom of Regularity does not really prevent Russell's Paradox and that it has to do more with the Axiom of Specification. However, the …
Interior $H^2$ regularity (proof) - Mathematics Stack Exchange
The problem is related to the proof of the interior $H^2$ regularity theorem from Evans's book Partial Differential Equations (sec 6.3). In the proof, I am having ...
Regularity of Parabolic pde - Mathematics Stack Exchange
May 22, 2018 · Explore related questions sobolev-spaces regularity-theory-of-pdes parabolic-pde See similar questions with these tags.
Need good reference or a proof on regularity of solution to Neumann …
By using this result, he extends the regularity theorem 4 above to the case of non homogeneous boundary conditions ([2], p. 226) by reducing non homogeneous boundary conditions to …
Does Regularity imply the Axiom of Global Choice?
Sep 10, 2024 · The mistake, of course, is that guarantee of existence does not guarantee uniqueness, or that some element is specified. This is exactly where choice is usually needed. It is, true, however, …
Maximal $L^p$-regularity of Laplace-Beltrami operator $\Delta$ on ...
Aug 1, 2023 · Maximal $L^p$-regularity of Laplace-Beltrami operator $\Delta$ on closed manifold Ask Question Asked 2 years, 6 months ago Modified 2 years, 6 months ago