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

We analyze a class of weakly differentiable vector fields F : ℝ → ℝ N with the property that F ∈ L ∞ and div F is a (signed) Radon measure. These fields are called bounded divergence-measure fields. The primary focus of our investigation is to introd...

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Bibliographic Details
Main Authors: Chen, G, Torres, M, Ziemer, W
Format: Journal article
Language:English
Published: 2009