On the divergence theorem on manifolds
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Publication:713448
DOI10.1016/j.jmaa.2012.07.042zbMath1252.26005OpenAlexW2087602529MaRDI QIDQ713448
Varayu Boonpogkrong, Tuan Seng Chew, Peng-Yee Lee
Publication date: 29 October 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.042
Denjoy and Perron integrals, other special integrals (26A39) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)
Cites Work
- On Henstock's inner variation and strong derivatives.
- Stokes' theorem.
- Kurzweil-Henstock integration on manifolds
- The divergence theorem for discontinuous vector fields
- The missing link
- A fundamental theorem of calculus for the Kurzweil-Henstock integral in \(\mathbb{R}^m\)
- Green-Goursat theorem
- Symmetric and Strong Differentiation
- Strong Derivatives and Inverse Mappings
- A non absolutely convergent integral which admits transformation and can be used for integration on manifolds
- The fundamental theorem for the $\nu_1$-integral on more general sets and a corresponding divergence theorem with singularities
- Sets of Finite Perimeter and the Gauss-Green Theorem with Singularities
- A Modified Differentiation
- A Note on Inverse Function Theorems
- On a Related Function Theorem
- On multiplication of Perron-integrable functions
- On Green's Theorem
- The Gauss-Green theorem
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