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Derivation and Integration.
Colloquium| Speaker: | Professor Emeritus Washek Pfeffer, Mathematics, UC Davis |
| Location: | 693 Kerr |
| Start time: | Mon, Apr 3 2000, 4:10PM |
A charge is an additive function of bounded BV sets which satisfies a certain continuity condition. The flux of a continuous vector field and the restriction of an absolutely continuous Radon measure to BV sets are examples of charges. We define an invariant (with respect to local lipeomorphisms) derivation of charges, and find an invariant linear space of charges, properly containing all absolutely continuous charges, on which the derivation is an injective map. An application of this result produces a very general version of the Gauss-Green and Stokes theorems.