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Volumn 14, Issue 2, 2002, Pages 151-191

The Jacobian and the Ginzburg-Landau energy

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EID: 0036524698     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260100093     Document Type: Article
Times cited : (193)

References (33)
  • 2
    • 0000931578 scopus 로고
    • Metric space valued functions of bounded variation
    • (17/3)
    • L. Ambrosio, Metric space valued functions of bounded variation, Ann. Scuola. Norm. Sup. Pisa Cl. Sci 4(17/3), 439-478, 1990
    • (1990) Ann. Scuola. Norm. Sup. Pisa Cl. Sci , vol.4 , pp. 439-478
    • Ambrosio, L.1
  • 3
    • 0000106687 scopus 로고    scopus 로고
    • Currents in metric spaces
    • L. Ambrosio and B. Kirchheim, Currents in metric spaces, Acta Math. 185, 1-80, 2000
    • (2000) Acta Math. , vol.185 , pp. 1-80
    • Ambrosio, L.1    Kirchheim, B.2
  • 4
    • 0010424294 scopus 로고    scopus 로고
    • Line energies for gradient vector fields in the plane
    • L. Ambrosio, C. DeLellis and C. Mantegazza. Line energies for gradient vector fields in the plane, Calc. Var. 9, 327-355, 1999
    • (1999) Calc. Var. , vol.9 , pp. 327-355
    • Ambrosio, L.1    DeLellis, C.2    Mantegazza, C.3
  • 5
    • 0001471210 scopus 로고
    • 2) which can be approximated by smooth maps
    • 2) which can be approximated by smooth maps. Ann. Inst. Henri Poincaré 7(4), 269-286, 1990
    • (1990) Ann. Inst. Henri Poincaré , vol.7 , Issue.4 , pp. 269-286
    • Bethuel, F.1
  • 7
    • 0033475315 scopus 로고    scopus 로고
    • Ginzburg-Landau vortices; weak stability and Schrödinger equation dynamics
    • J.E. Colliander and R.L. Jerrard. Ginzburg-Landau vortices; weak stability and Schrödinger equation dynamics, Journal d'Analyse Mathematique 77, 129-205, 1999
    • (1999) Journal d'Analyse Mathematique , vol.77 , pp. 129-205
    • Colliander, J.E.1    Jerrard, R.L.2
  • 9
    • 0001751477 scopus 로고
    • 1) qui peuvent être approchées par des fonctions régulieres
    • 1) qui peuvent être approchées par des fonctions régulieres. C.R. Acad. Sci. Paris, Série I 310, 553-557, 1990
    • (1990) C.R. Acad. Sci. Paris, Série I , vol.310 , pp. 553-557
    • Demengel, F.1
  • 11
    • 84975994718 scopus 로고
    • The gradient theory of phase transitions for systems with two potential wells
    • I. Fonseca and L. Tartar. The gradient theory of phase transitions for systems with two potential wells. Roy. Soc. Edin. Sect. A, 11A, 89-102, 1989
    • (1989) Roy. Soc. Edin. Sect. A , vol.11 A , pp. 89-102
    • Fonseca, I.1    Tartar, L.2
  • 15
    • 0033243608 scopus 로고    scopus 로고
    • Lower bounds for generalized Ginzburg-Landau functionals
    • R.L. Jerrard. Lower bounds for generalized Ginzburg-Landau functionals, SIAM Math. Anal. 30(4), 721-746, 1999
    • (1999) SIAM Math. Anal. , vol.30 , Issue.4 , pp. 721-746
    • Jerrard, R.L.1
  • 17
    • 0033569289 scopus 로고    scopus 로고
    • Rectifiability of the distributional Jacobian for a class of functions
    • R.L. Jerrard and H.M. Soner. Rectifiability of the distributional Jacobian for a class of functions, C.R. Acad. Sci. Paris, Série 1329, 683-688, 1999
    • (1999) C.R. Acad. Sci. Paris, Série , vol.1329 , pp. 683-688
    • Jerrard, R.L.1    Soner, H.M.2
  • 18
    • 0032371766 scopus 로고    scopus 로고
    • Dynamics of Ginzburg-Landau vortices
    • R.L. Jerrard and H.M. Soner. Dynamics of Ginzburg-Landau vortices Arc. Rat. Mech. An., 142, 185-206, 1998
    • (1998) Arc. Rat. Mech. An. , vol.142 , pp. 185-206
    • Jerrard, R.L.1    Soner, H.M.2
  • 19
    • 0013027307 scopus 로고    scopus 로고
    • Scaling limits and regularity for a class of Ginzburg-Landau systems
    • R.L. Jerrard and H.M. Soner. Scaling limits and regularity for a class of Ginzburg-Landau systems, Ann. Inst. Henri Poincaré, 16(4), 423-466, 1999
    • (1999) Ann. Inst. Henri Poincaré , vol.16 , Issue.4 , pp. 423-466
    • Jerrard, R.L.1    Soner, H.M.2
  • 20
    • 84975988204 scopus 로고
    • Local minimizers and singular perturbations
    • R. Kohn and P. Sternberg. Local minimizers and singular perturbations. Roy. Soc. Edin. Sect. A 109, 69-84, 1989
    • (1989) Roy. Soc. Edin. Sect. A , vol.109 , pp. 69-84
    • Kohn, R.1    Sternberg, P.2
  • 21
    • 85012280352 scopus 로고
    • Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
    • F.-H. Lin. Solutions of Ginzburg-Landau equations and critical points of the renormalized energy. Ann. Inst. Henri Poincaré, 12(5), 599-622, 1995
    • (1995) Ann. Inst. Henri Poincaré , vol.12 , Issue.5 , pp. 599-622
    • Lin, F.-H.1
  • 22
    • 34250109116 scopus 로고
    • The gradient theory of phase transitions and the minimal interface criterion
    • L. Modica. The gradient theory of phase transitions and the minimal interface criterion. Arch. Rat. Mech. An. 98, 123-142, 1987
    • (1987) Arch. Rat. Mech. An. , vol.98 , pp. 123-142
    • Modica, L.1
  • 23
    • 0012990431 scopus 로고
    • Il limite nella Γ-convergenza di una famiglia di funzionali elliptici
    • L. Modica and S. Mortola. Il limite nella Γ-convergenza di una famiglia di funzionali elliptici. Boll. Un. Mat. Ital. 14-A, 526-529, 1977
    • (1977) Boll. Un. Mat. Ital. , vol.14 A , pp. 526-529
    • Modica, L.1    Mortola, S.2
  • 24
    • 0000359194 scopus 로고
    • Un esempio di Γ convergenza
    • L. Modica and S. Mortola. Un esempio di Γ convergenza. Boll. Un. Mat. Ital. 14-B, 285-299, 1977
    • (1977) Boll. Un. Mat. Ital. , vol.14 B , pp. 285-299
    • Modica, L.1    Mortola, S.2
  • 25
    • 0001996693 scopus 로고
    • Lignes de tourbillons dans le modèle abelien de Higgs
    • T. Rivière. Lignes de tourbillons dans le modèle abelien de Higgs. C.R.A.S. Paris 32, 73-76, 1995
    • (1995) C.R.A.S. Paris , vol.32 , pp. 73-76
    • Rivière, T.1
  • 26
    • 0003066107 scopus 로고    scopus 로고
    • Line vortices in the U(1)-Higgs model
    • T. Rivière. Line vortices in the U(1)-Higgs model. Cont. Opt. Calc. Var. 1, 77-167, 1996
    • (1996) Cont. Opt. Calc. Var. , vol.1 , pp. 77-167
    • Rivière, T.1
  • 27
    • 0000618159 scopus 로고    scopus 로고
    • Lower Bounds for the Energy of Unit Vector Fields and Applications
    • E. Sandier, Lower bounds for the energy of unit vector fields and applications, J. Funct. Anal. 152(2), 379-403, 1998
    • (1998) J. Funct. Anal. , vol.152 , Issue.2 , pp. 379-403
    • Sandier, E.1
  • 29
    • 0000469641 scopus 로고    scopus 로고
    • Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field
    • Ann. Inst. H. Poincaré
    • E. Sandier and S. Serfaty. Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field, Ann. Inst. H. Poincaré, Anal. Non Lineaire 17, 119-145, 2000
    • (2000) Anal. Non Lineaire , vol.17 , pp. 119-145
    • Sandier, E.1    Serfaty, S.2
  • 31
    • 34250095380 scopus 로고
    • The effect of a singular perturbation on nonconvex variational problems
    • P. Sternberg. The effect of a singular perturbation on nonconvex variational problems. Arch. Rat. Mech. An. 101, 209-260, 1988
    • (1988) Arch. Rat. Mech. An. , vol.101 , pp. 209-260
    • Sternberg, P.1
  • 32
    • 84972506267 scopus 로고
    • On the asymptotic behavior of minimizers of the Ginzburg-Landau model in two dimensions
    • M. Struwe. On the asymptotic behavior of minimizers of the Ginzburg-Landau model in two dimensions. Diff. and Int. Equations 7(6), 1613-1624, 1994
    • (1994) Diff. and Int. Equations , vol.7 , Issue.6 , pp. 1613-1624
    • Struwe, M.1
  • 33
    • 0033244828 scopus 로고    scopus 로고
    • Rectifiability of flat chains
    • B. White Rectifiability of flat chains, Annals of Mathematics, 150, 165-184, 1999
    • (1999) Annals of Mathematics , vol.150 , pp. 165-184
    • White, B.1


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