A method for establishing upper bounds for singular perturbation problems

DOI10.1016/j.crma.2005.06.009zbMath1068.49009OpenAlexW2058590290MaRDI QIDQ2487996

Arkady Poliakovsky

Publication date: 17 August 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.06.009

zbMATH Keywords

bounded variationGamma-convergenceoptimal liftingAviles-Giga functionalBV-maps

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Upper bounds for singular perturbation problems involving gradient fields ⋮ Rational string topology ⋮ On a singular perturbation problem related to optimal lifting in BV-space ⋮ Sharp upper bounds for a variational problem with singular perturbation ⋮ A general technique to prove upper bounds for singular perturbation problems ⋮ ON A NONLOCAL FUNCTIONAL ARISING IN THE STUDY OF THIN-FILM BLISTERING

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Upper bounds for singular perturbation problems involving gradient fields
• On a singular perturbation problem related to optimal lifting in BV-space
• Sharp upper bounds for a variational problem with singular perturbation
• The effect of a singular perturbation on nonconvex variational problems
• Lifting of BV functions with values in \(S^1\)
• Singular perturbation and the energy of folds
• The gradient theory of phase transitions and the minimal interface criterion
• Line energies for gradient vector fields in the plane
• The geometry of the phase diffusion equation
• A compactness result in the gradient theory of phase transitions
• ON THE RELATION BETWEEN MINIMIZERS OF A Γ-LIMIT ENERGY AND OPTIMAL LIFTING IN BV-SPACE
• 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