Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws

G. Q. Chen, M. Torres, W. Ziemer

We analyze a class of weakly differentiable vector fields (\FF \colon \rn \to \rn) with the property that (\FF\in L^{\infty}) and (÷\FF) is a Radon measure. The primary focus of ou…