A second order free discontinuity model for bituminous surfacing crack recovery and analysis of a nonlocal version of it

DOI10.4310/AMSA.2018.v3.n1.a3zbMath1404.74009OpenAlexW2795263172WikidataQ130051924 ScholiaQ130051924MaRDI QIDQ1707630

Carole Le Guyader, Noémie Debroux, Luminita A. Vese

Publication date: 3 April 2018

Published in: Annals of Mathematical Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/amsa.2018.v3.n1.a3

zbMATH Keywords

Fourier transformconvergence analysistempered distributionsviscosity solutions\(\Gamma\)-convergenceinfinity Laplacianfractional Sobolev spaceBlake-Zisserman functional\(G(\mathbb{R}^2)\)-space of oscillating functionselliptic approximationsfine structure segmentationnonlocal second order operatorspartial minimizerspace of generalized special functions of bounded variation (GSBV)

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Theories of fracture and damage (74A45) PDEs in connection with mechanics of deformable solids (35Q74)

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