Publication: On Poincaré and de Rham‘s theorems
On Poincaré and de Rham‘s theorems
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Mardare, S. (2008). On Poincaré and de Rham‘s theorems. Revue Roumaine de Mathématiques Pures et Appliquées, 53(5–6), 523–541. http://www.csm.ro/reviste/Revue_Mathematique/pdfs/2008/5-6/mardare_sorin.pdf
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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.
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Mardare, S. (2008). On Poincaré and de Rham‘s theorems. Revue Roumaine de Mathématiques Pures et Appliquées, 53(5–6), 523–541. http://www.csm.ro/reviste/Revue_Mathematique/pdfs/2008/5-6/mardare_sorin.pdf
