A Variational Theory of Convolution-Type Functionals

DOI10.1007/978-981-99-0685-7zbMath1528.49001arXiv2007.03993OpenAlexW3041479018MaRDI QIDQ6159877

Andrey L. Piatnitski, Andrea Braides, Roberto Alicandro, Antonio Tribuzio, Nadia Ansini

Publication date: 23 June 2023

Published in: SpringerBriefs on PDEs and Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03993

zbMATH Keywords

integral representationcompactnessGamma-convergencenonlocal energieshomogenization, gradient flows

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)

Related Items (5)

Compactness for a class of integral functionals with interacting local and non-local terms ⋮ Homogenization of discrete thin structures ⋮ Asymptotic behavior of the Dirichlet energy on Poisson point clouds ⋮ Extending linear growth functionals to functions of bounded fractional variation ⋮ Validity and failure of the integral representation of \(\Gamma \)-limits of convex non-local functionals

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