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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 |
Description
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.