Jump detection in Besov spaces via a new BBM formula. Applications to Aviles–Giga-type functionals

DOI10.1142/S0219199717500961zbMath1410.46023arXiv1703.04208MaRDI QIDQ4554617

Arkady Poliakovsky

Publication date: 9 November 2018

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04208

zbMATH Keywords

Besov spacesfunctions of bounded variationsingular perturbation problems

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (3)

Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions ⋮ Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung ⋮ Asymptotic behavior of the W^1∕q,q-norm of mollified BV functions and applications to singular perturbation problems

Cites Work

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• Upper bounds for singular perturbation problems involving gradient fields
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• Structure of entropy solutions to the eikonal equation
• Singular perturbation and the energy of folds
• Line energies for gradient vector fields in the plane
• On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields
• An example in the gradient theory of phase transitions
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