Reiterated Homogenization in $BV$ via Multiscale Convergence

DOI10.1137/110826205zbMath1244.49023OpenAlexW2009944793MaRDI QIDQ2902750

Rita Ferreira, Irene Fonseca

Publication date: 22 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110826205

zbMATH Keywords

periodic homogenization\(\Gamma\)-convergencelinear growthmultiscale convergence\(BV\)-valued measuresspace \(BV\) of functions of bounded variation

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Functions of bounded variation, generalizations (26A45)

Related Items (4)

Variational homogenization: old and new ⋮ Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands ⋮ Homogenization of Quasi-Crystalline Functionals via Two-Scale-Cut-and-Project Convergence ⋮ Multiscale homogenization in Kirchhoff's nonlinear plate theory

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