Traces and extensions of bounded divergence-measure fields on rough open sets

DOI10.1512/iumj.2020.69.8375zbMath1457.28011arXiv1811.00415OpenAlexW3007508939MaRDI QIDQ5109025

Qinfeng Li, Monica Torres, Gui-Qiang G. Chen

Publication date: 7 May 2020

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

Full work available at URL: https://arxiv.org/abs/1811.00415

zbMATH Keywords

product rulefinite perimeterextension domainnormal tracedivergence equationGauss-Green formuladivergence-measure fieldrough domainone-side approximation of setsrough open set

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Hyperbolic conservation laws (35L65) Calculus of vector functions (26B12) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items

On smooth interior approximation of sets of finite perimeter, Extensions and traces of BV functions in rough domains and generalized Cheeger sets, Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow

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