On BV functions and essentially bounded divergence-measure fields in metric spaces

DOI10.4171/RMI/1291MaRDI QIDQ2135423

Vito Buffa, Giovanni E. Comi, Michele~jun. Miranda

Publication date: 6 May 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07432

zbMATH Keywords

functions of bounded variationmetric measure spacesdivergence-measure fieldsnormal tracesGauss-Green formulacotangent modulecurvature dimension condition

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Analysis on metric spaces (30L99)

Related Items (8)

On the \(p\)-Laplacian evolution equation in metric measure spaces ⋮ Representation formulas for pairings between divergence-measure fields and \(BV\) functions ⋮ Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces ⋮ Calculus and fine properties of functions of bounded variation on RCD spaces ⋮ The Neumann and Dirichlet problems for the total variation flow in metric measure spaces ⋮ The Cheeger cut and Cheeger problem in metric measure spaces ⋮ The metric measure boundary of spaces with Ricci curvature bounded below ⋮ Existence of parabolic minimizers to the total variation flow on metric measure spaces

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