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4:00 pm Wednesday, September 26, 2012 Geometry-Analysis Seminar: The Divergence Equationby Washek Pfeffer (University of California at Davis) in HB 227- A figure is the union of finitely many nondegenerate compact intervals. An additive function of figures that is continuous with respect to a suitable topology is called a charge. Differentiating charges leads to a very general Gauss-Green theorem. The resulting integration by parts can be applied to studying removable sets of singularities for the Cauchy-Riemann, Laplace, and minimal surface equations. The charges extend to distributions, and the equation div v = F has a weak continuous solution if and only if the distribution F is a charge of a certain kind.
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