The Gauss-Green theorem for bounded vectorfields with divergence measure on sets of finite perimeter

DOI10.1512/iumj.2023.72.9407zbMath1525.26008MaRDI QIDQ6045835

Šilhavý, Miroslav

Publication date: 12 May 2023

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

zbMATH Keywords

sets of finite perimeternormal tracesdivergence measure fieldsgeneralized Gauss-Green theorems

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (1)

Representation formulas for pairings between divergence-measure fields and \(BV\) functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• One-sided approximation of sets of finite perimeter
• Cauchy's stress theorem for stresses represented by measures
• Pairings between measures and bounded functions and compensated compactness
• Divergence-measure fields and hyperbolic conservation laws
• Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets
• Divergence-measure fields, sets of finite perimeter, and conservation laws
• On locally essentially bounded divergence measure fields and sets of locally finite perimeter
• The Divergence Theorem for Divergence Measure Vectorfields on Sets with Fractal Boundaries
• Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
• H = W

This page was built for publication: The Gauss-Green theorem for bounded vectorfields with divergence measure on sets of finite perimeter