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All issues Volume 15 / No 3 (July-September 2009) ESAIM: COCV, 15 3 (2009) 576-598 References
Free Access
Issue
ESAIM: COCV
Volume 15, Number 3, July-September 2009
Page(s) 576 - 598
DOI https://doi.org/10.1051/cocv:2008041
Published online 24 June 2008
  1. L. Ambrosio, Existence theory for a new class of variational problems. Arch. Ration. Mech. Anal. 111 (1990) 291–322. [CrossRef] [MathSciNet] [Google Scholar]
  2. L. Ambrosio and V.M. Tortorelli, Approximation of functionals depending on jumps by elliptic functionals via Γ -convergence. Comm. Pure Appl. Math. 43 (1990) 999–1036. [CrossRef] [MathSciNet] [Google Scholar]
  3. L. Ambrosio and V.M. Tortorelli, On the approximation of free discontinuity problems. Boll. Un. Mat. Ital. B (7) 6 (1992) 105–123. [MathSciNet] [Google Scholar]
  4. L. Ambrosio, N. Fusco and D. Pallara, Functions of Bounded Variation and Free Discontinuity Problems. Oxford University Press (2000). [Google Scholar]
  5. F. Bethuel, H. Brezis and F. Hélein, Ginzburg-Landau vortices, Progress in Nonlinear Differential Equations and their Applications 13. Birkhäuser Boston Inc., Boston, MA (1994). [Google Scholar]
  6. B. Bourdin, Numerical implementation of the variational formulation of brittle fracture. Interfaces Free Bound. 9 (2007) 411–430. [CrossRef] [MathSciNet] [Google Scholar]
  7. A. Braides, Γ-convergence for Beginners, Oxford Lecture Series in Mathematics and its Applications 22. Oxford University Press (2002). [Google Scholar]
  8. E. De Giorgi, M. Carriero and A. Leaci, Existence theorem for a minimum problem with free discontinuity set. Arch. Ration. Mech. Anal. 108 (1989) 195–218. [CrossRef] [MathSciNet] [Google Scholar]
  9. L.C. Evans and R.F. Gariepy, Measure theory and fine properties of functions. CRC Press, Boca Raton, FL (1992). [Google Scholar]
  10. G.A. Francfort and J.-J. Marigo, Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46 (1998) 1319–1342. [CrossRef] [MathSciNet] [Google Scholar]
  11. J.E. Hutchinson and Y. Tonegawa, Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory. Calc. Var. Partial Differential Equations 10 (2000) 49–84. [CrossRef] [MathSciNet] [Google Scholar]
  12. L. Modica and S. Mortola, Il limite nella Γ-convergenza di una famiglia di funzionali ellittici. Boll. Un. Mat. Ital. A (5) 14 (1977) 526–529. [MathSciNet] [Google Scholar]
  13. D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math. XLII (1989) 577–685. [Google Scholar]
  14. P.J. Olver, Applications of Lie groups to differential equations, Graduate Texts in Mathematics 107. Springer-Verlag, New York (1986). [Google Scholar]
  15. E. Sandier and S. Serfaty, Vortices in the magnetic Ginzburg-Landau model, Progress in Nonlinear Differential Equations and their Applications 70. Birkhäuser Boston Inc., Boston, MA (2007). [Google Scholar]
  16. Y. Tonegawa, Phase field model with a variable chemical potential. Proc. Roy. Soc. Edinburgh Sect. A 132 (2002) 993–1019. [CrossRef] [MathSciNet] [Google Scholar]
  17. Y. Tonegawa, A diffused interface whose chemical potential lies in a Sobolev space. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 4 (2005) 487–510. [MathSciNet] [Google Scholar]
  18. T. Wittman, Lost in the supermarket: decoding blurry barcodes. SIAM News 37 September (2004). [Google Scholar]

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