Timeline for Reference for Hodge decomposition
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 24, 2014 at 10:48 | comment | added | username | It is written in Girault-Raviart's textbook on Navier Stokes for $d=2,3$. | |
| Sep 22, 2014 at 12:37 | comment | added | Peter Michor | On $\mathbb R^n$ this is also called the Helmholtz decomposition - search also under this name. | |
| S Sep 22, 2014 at 8:26 | history | suggested | David Ketcheson | CC BY-SA 3.0 |
Clarify what the question is about
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| Sep 22, 2014 at 6:57 | review | Suggested edits | |||
| S Sep 22, 2014 at 8:26 | |||||
| Sep 19, 2014 at 6:06 | comment | added | Elwood | Actually, it would suffice for my needs to handle the case of convex polygonal shapes, if this is of any help. | |
| Sep 18, 2014 at 7:27 | comment | added | Willie Wong | For smooth boundaries, possibly yes, in some advanced calculus textbooks. For Lipschitz boundaries I am slightly doubtful. | |
| Sep 17, 2014 at 19:19 | comment | added | Elwood | Thanks for this reference. I would be even happier with a reference that only proves the statement for subsets of $\mathbb{R}^d$ (as opposed to Riemannian manifolds), and does not explicitly refer to Hodge theory or differential forms. Is there something like this somewhere? | |
| Sep 17, 2014 at 13:09 | comment | added | Willie Wong | You are describing basically the Hodge decomposition. For Lipschitz domains the result is derived in this AMS memoir (and probably elsewhere too). | |
| Sep 17, 2014 at 12:52 | review | Close votes | |||
| Sep 17, 2014 at 18:04 | |||||
| Sep 17, 2014 at 12:05 | history | asked | Elwood | CC BY-SA 3.0 |