Mardare, S (2008). On Poincaré and de Rham‘s theorems. Revue Roumaine de Mathématiques Pures et Appliquées, 53(5-6):523-541.
We prove Poincaré's theorem under general assumptions on the data. Then we derive the regularity of the solution from a result of Borchers and Sohr [6]. Finally, we give an elementary proof of the de Rham's theorem in the case of 1-dimensional flows on the Euclidean space by applying the techniques introduced in the proof of Poincaré's theorem.
We prove Poincaré's theorem under general assumptions on the data. Then we derive the regularity of the solution from a result of Borchers and Sohr [6]. Finally, we give an elementary proof of the de Rham's theorem in the case of 1-dimensional flows on the Euclidean space by applying the techniques introduced in the proof of Poincaré's theorem.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2008 |
| Deposited On: | 09 Nov 2009 01:47 |
| Last Modified: | 26 Jun 2022 22:18 |
| Publisher: | Editura Academiei Romane |
| ISSN: | 0035-3965 |
| OA Status: | Green |
| Official URL: | http://www.csm.ro/reviste/Revue_Mathematique/pdfs/2008/5-6/mardare_sorin.pdf |
Mardare, S