On a singular perturbation problem related to optimal lifting in BV-space

DOI10.1007/s00526-006-0041-1zbMath1134.49009OpenAlexW1973279601MaRDI QIDQ869260

Arkady Poliakovsky

Publication date: 2 March 2007

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

Full work available at URL: https://doi.org/10.1007/s00526-006-0041-1

zbMATH Keywords

\(\Gamma\)-convergenceoptimal BV-lifting

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

ON THE RELATION BETWEEN MINIMIZERS OF A Γ-LIMIT ENERGY AND OPTIMAL LIFTING IN BV-SPACE ⋮ A general technique to prove upper bounds for singular perturbation problems ⋮ \(\Gamma\)-limits of singular perturbation problems involving energies with non-local terms ⋮ A method for establishing upper bounds for singular perturbation problems

Cites Work

• Upper bounds for singular perturbation problems involving gradient fields
• The effect of a singular perturbation on nonconvex variational problems
• Lifting of BV functions with values in \(S^1\)
• The gradient theory of phase transitions and the minimal interface criterion
• A method for establishing upper bounds for singular perturbation problems
• ON THE RELATION BETWEEN MINIMIZERS OF A Γ-LIMIT ENERGY AND OPTIMAL LIFTING IN BV-SPACE
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