Timeline for Stokes theorem with corners
Current License: CC BY-SA 3.0
19 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot | replaced http://mathoverflow.net/ with https://mathoverflow.net/ | |
| S Mar 28, 2015 at 0:45 | history | bounty ended | CommunityBot | ||
| S Mar 28, 2015 at 0:45 | history | notice removed | CommunityBot | ||
| Mar 25, 2015 at 23:07 | comment | added | Pedro Lauridsen Ribeiro | This theorem is the one called the "Gauss-Green theorem" in Federer's book which you mentioned above. Have a look as well at the paper by M. Taylor, M. Mitrea and A. Vasy, "Lipschitz domains, domains with corners, and the Hodge Laplacian". Commun. PDE 30 (2005) 1445-1462, arXiv:math/0408438. | |
| Mar 25, 2015 at 22:57 | comment | added | Pedro Lauridsen Ribeiro | One of the main basic results in Geometric Measure Theory is a version of the Stokes theorem for manifolds with a locally Lipschitz boundary, due to de Giorgi and Federer. It seems to me that such boundaries are general enough to include corners in the $\mathscr{C}^1$ sense. A proof of this theorem can be found in Federer's book and (I think) in Whitney's book "Geometric Integration Theory" quoted in Zurab Silagadze's answer below. | |
| S Mar 24, 2015 at 6:24 | history | suggested | BigM | CC BY-SA 3.0 | Corrections |
| Mar 24, 2015 at 5:56 | review | Suggested edits | |||
| S Mar 24, 2015 at 6:24 | |||||
| Mar 20, 2015 at 13:16 | answer | added | Zurab Silagadze | timeline score: 2 | |
| Mar 20, 2015 at 10:42 | answer | added | Peter Michor | timeline score: 7 | |
| S Mar 19, 2015 at 22:47 | history | bounty started | Jacobb | ||
| S Mar 19, 2015 at 22:47 | history | notice added | Jacobb | Draw attention | |
| Mar 19, 2015 at 18:00 | history | edited | Jacobb | CC BY-SA 3.0 | added links to quoted articles |
| Mar 19, 2015 at 14:57 | comment | added | Jacobb | @FanZheng Thank you! Could you come back and write down any other titles concerning my problem if they come to mind? | |
| Mar 18, 2015 at 22:32 | comment | added | Fan Zheng | I think that may help, though I haven't had a careful read. | |
| Mar 18, 2015 at 18:01 | comment | added | Jacobb | @FanZheng Could you please recommend a few books, papers concerning geometric measure theory which might be helpful in my case? | |
| Mar 18, 2015 at 6:17 | comment | added | Jacobb | Federer's Geometric Measure Theory? There is in chapter four: Homological Integration Theory a subsection 4.5 called Normal currents of dimension $n$ in $\mathbb{R}^n$ in which Gauss-Green theorem is discussed. Is that what you mean? | |
| Mar 18, 2015 at 1:02 | comment | added | Fan Zheng | looks like you're heading for geometric measure theory. | |
| Mar 17, 2015 at 22:26 | review | First posts | |||
| Mar 17, 2015 at 22:27 | |||||
| Mar 17, 2015 at 22:22 | history | asked | Jacobb | CC BY-SA 3.0 |