A full descriptive definition of the BV-integral
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چکیده
The BV-integral, introduced in [5, Definition 5.1] under the name “variational integral”, is a coordinate free generalization of the Lebesgue integral defined on all bounded Caccioppoli sets. Unlike the Lebesgue integral, it integrates partial derivatives of differentiable functions and provides the unrestricted Gauss-Green theorem. The purpose of this note is to present a complete characterization of those additive functions of bounded Caccioppoli sets that are indefinite BVintegrals (Theorem 3.9).
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تاریخ انتشار 2010