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https://doi.org/10.1016/j.jmaa.2012.07.042
| Title: | On the divergence theorem on manifolds | Authors: | Boonpogkrong, V. Chew, T.S. Lee, P.Y. |
Keywords: | Manifolds Partition of unity The divergence theorem The H-K integral |
Issue Date: | 1-Jan-2013 | Citation: | Boonpogkrong, V., Chew, T.S., Lee, P.Y. (2013-01-01). On the divergence theorem on manifolds. Journal of Mathematical Analysis and Applications 397 (1) : 182-190. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jmaa.2012.07.042 | Abstract: | In this paper, the divergence theorem is proved by the Kurzweil-Henstock approach. The physical definition of the divergence of a vector field is used, instead of the usual definition used in mathematics papers. Sufficient conditions for the existence of the divergence of a vector field on n-dimensional manifolds in Rn are given. Concepts of strong differentiability are used in the sufficient conditions. © 2012 Elsevier Ltd. | Source Title: | Journal of Mathematical Analysis and Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/103792 | ISSN: | 0022247X | DOI: | 10.1016/j.jmaa.2012.07.042 |
| Appears in Collections: | Staff Publications |
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