Stokes' theorem for domains with fractal boundary (Q1018344)
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scientific article; zbMATH DE number 5555243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stokes' theorem for domains with fractal boundary |
scientific article; zbMATH DE number 5555243 |
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Stokes' theorem for domains with fractal boundary (English)
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19 May 2009
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The aim of this paper is to develop Green's, Gauss' and Stokes' theorems for integrals over domains with fractal boundaries. The authors generalize the concepts of classical line and surface integrals to integrals over curves of zero area and surfaces of zero volume respectively. Then they establish an existence theorem for the surface integral and reformulate Green's, Gauss' and Stokes' theorems for domains with fractal boundaries. Finally, three examples illustrating the new line and surface integrals are given.
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integrals of the second kind
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Green's formula
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Stokes' Theorem
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fractal boundary
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