The divergence theorem

Pfeffer, W. F.

doi:10.1090/S0002-9947-1986-0833702-0

The divergence theorem
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by W. F. Pfeffer PDF

Trans. Amer. Math. Soc. 295 (1986), 665-685 Request permission

Abstract:

We define a well-behaved multidimensional Riemann type integral such that the divergence of any vector field continuous in a compact interval and differentiable in its interior is integrable, and the integral equals the flux of the vector field out of the interval.

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