Space-time integral currents of bounded variation

DOI10.1007/s00526-022-02332-2zbMath1504.49060arXiv2109.12447OpenAlexW3202132467MaRDI QIDQ2680543

Filip Rindler

Publication date: 4 January 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12447

zbMATH Keywords

Lipschitz deformation distancespace-time integral currents with bounded variation

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (2)

Existence and uniqueness for the transport of currents by Lipschitz vector fields ⋮ Calculus of variations. Abstracts from the workshop held August 14--20, 2022

Cites Work

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• Variational evolution of dislocations in single crystals
• Elements of Lipschitz topology
• Strict convergence and minimal liftings in BV
• Elasto-plastic evolution of single crystals driven by dislocation flow

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