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Volumn 10, Issue 1, 2000, Pages 21-40

The two-well problem in three dimensions

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EID: 0011213027     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00013455     Document Type: Article
Times cited : (17)

References (30)
  • 1
    • 51249176660 scopus 로고
    • Bi-convexity and bi-martingales
    • R. Aumann, S. Hart, Bi-convexity and bi-martingales, Israel J. Math. 54 (1986), pp. 159-180.
    • (1986) Israel J. Math. , vol.54 , pp. 159-180
    • Aumann, R.1    Hart, S.2
  • 2
    • 0021466176 scopus 로고
    • A general approach to lower semicontinuity and lower closure in optimal control theory
    • E.J. Balder, A general approach to lower semicontinuity and lower closure in optimal control theory, SIAM J. Control Opt. 22 (1984), pp. 570-598.
    • (1984) SIAM J. Control Opt. , vol.22 , pp. 570-598
    • Balder, E.J.1
  • 3
    • 0000093666 scopus 로고
    • A version of the fundamental theorem for Young measures
    • PDE's and Continuum Models of Phase Transitions (M. Rascle, D. Serre, M. Slemrod, eds.), Springer
    • J.M. Ball, A version of the fundamental theorem for Young measures, in: PDE's and Continuum Models of Phase Transitions (M. Rascle, D. Serre, M. Slemrod, eds.), Lecture Notes in Physics 344, Springer 1989, pp. 207-215.
    • (1989) Lecture Notes in Physics , vol.344 , pp. 207-215
    • Ball, J.M.1
  • 5
    • 33750297145 scopus 로고
    • Fine phase mixtures as minimizers of energy
    • J.M. Ball, R.D. James, Fine phase mixtures as minimizers of energy, Arch. Rat. Mech. Anal. 100 (1987), pp. 13-52.
    • (1987) Arch. Rat. Mech. Anal. , vol.100 , pp. 13-52
    • Ball, J.M.1    James, R.D.2
  • 6
    • 0002854369 scopus 로고
    • Proposed experimental tests of a theory of fine microstructure and the two-well problem
    • J.M. Ball, R.D. James, Proposed experimental tests of a theory of fine microstructure and the two-well problem, Phil. Trans. Roy. Soc. London 338A (1992), pp. 389-450.
    • (1992) Phil. Trans. Roy. Soc. London , vol.338 A , pp. 389-450
    • Ball, J.M.1    James, R.D.2
  • 7
    • 0000229008 scopus 로고
    • Intégrandes normales et mesures paramétrées en calcul des variations
    • H. Berliocchi, J.M. Lasry, Intégrandes normales et mesures paramétrées en calcul des variations, Bull. Soc. Math. France 101 (1973), pp. 129-184.
    • (1973) Bull. Soc. Math. France , vol.101 , pp. 129-184
    • Berliocchi, H.1    Lasry, J.M.2
  • 8
    • 0038496367 scopus 로고
    • An algebraic characterization of quasi-convex functions
    • E. Casadio-Tarabusi, An algebraic characterization of quasi-convex functions, Ricerche Mat. 42 (1993), pp. 11-24.
    • (1993) Ricerche Mat. , vol.42 , pp. 11-24
    • Casadio-Tarabusi, E.1
  • 9
    • 0001246325 scopus 로고
    • Equilibrium configurations of crystals
    • M. Chipot, D. Kinderlehrer, Equilibrium configurations of crystals, Arch. Rat. Mech. Anal. 103 (1988), pp. 237-277.
    • (1988) Arch. Rat. Mech. Anal. , vol.103 , pp. 237-277
    • Chipot, M.1    Kinderlehrer, D.2
  • 10
    • 0022594411 scopus 로고
    • Displacive phase transformations in solids
    • R.D. James, Displacive phase transformations in solids, J. Mech. Phys. Solids 34 (1986), pp. 359-394.
    • (1986) J. Mech. Phys. Solids , vol.34 , pp. 359-394
    • James, R.D.1
  • 12
    • 0001139965 scopus 로고
    • Characterization of Young measures generated by gradients
    • D. Kinderlehrer, P. Pedregal, Characterization of Young measures generated by gradients, Arch. Rat. Mech. Anal. 115 (1991), pp. 329-365.
    • (1991) Arch. Rat. Mech. Anal. , vol.115 , pp. 329-365
    • Kinderlehrer, D.1    Pedregal, P.2
  • 14
    • 84971895402 scopus 로고
    • Young measures and the absence of fine microstructures in a class of phase transitions
    • J.P. Matos, Young measures and the absence of fine microstructures in a class of phase transitions, Europ. J. of Appl. Math. 3 (1992), pp. 31-54.
    • (1992) Europ. J. of Appl. Math. , vol.3 , pp. 31-54
    • Matos, J.P.1
  • 17
    • 84972497511 scopus 로고
    • Quasi-convexity and the lower semicontinuity of multiple integrals
    • C.B. Morrey, Quasi-convexity and the lower semicontinuity of multiple integrals, Pacific J. Math. 2 (1952), pp. 25-53.
    • (1952) Pacific J. Math. , vol.2 , pp. 25-53
    • Morrey, C.B.1
  • 18
    • 0002142597 scopus 로고    scopus 로고
    • Variational methods for microstructure and phase transitions
    • to appear Cetraro, S.Hildebrandt and M.Struwe, eds.
    • S. Müller, Variational methods for microstructure and phase transitions, to appear in: Proc. C.I.M.E. summer school 'Calculus of variations and geometric evolution problems', Cetraro, 1996, (S.Hildebrandt and M.Struwe, eds.), http://www.mis.mpg.de/cgi-bin/lecture-notes.pl.
    • (1996) Proc. C.I.M.E. Summer School 'Calculus of Variations and Geometric Evolution Problems'
    • Müller, S.1
  • 19
    • 0002100929 scopus 로고    scopus 로고
    • Unexpected solutions of first and second order partial differential equations
    • Extra
    • S. Müller, V. Šverák, Unexpected solutions of first and second order partial differential equations, Doc. Math. J. DMV, Extra Vol. ICM 98, pp. 691-702.
    • Doc. Math. J. DMV , vol.98 ICM , pp. 691-702
    • Müller, S.1    Šverák, V.2
  • 20
    • 0004695490 scopus 로고
    • Polycristalline configurations that maximize electrical resistivity
    • V. Nesi, G.W. Milton, Polycristalline configurations that maximize electrical resistivity, J. Mech. Phys. Solids 39 (1991), pp. 525-542.
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 525-542
    • Nesi, V.1    Milton, G.W.2
  • 21
    • 0000521811 scopus 로고
    • Laminates and microstructure
    • P. Pedregal, Laminates and microstructure, Europ. J. Appl. Math. 4 (1993), pp. 121-149.
    • (1993) Europ. J. Appl. Math. , vol.4 , pp. 121-149
    • Pedregal, P.1
  • 22
    • 70349772856 scopus 로고    scopus 로고
    • Parametrized measures and variational principles
    • P. Pedregal, Parametrized measures and variational principles, Birkhäuser, 1997.
    • Birkhäuser , vol.1 , pp. 997
    • Pedregal, P.1
  • 23
    • 21144462890 scopus 로고
    • New examples of quasiconvex functions
    • V. Šverák, New examples of quasiconvex functions, Arch. Rat. Mech. Anal. 119 (1992), pp. 293-300.
    • (1992) Arch. Rat. Mech. Anal. , vol.119 , pp. 293-300
    • Šverák, V.1
  • 24
    • 0001682439 scopus 로고
    • On the problem of two wells, in Microstructure and phase transitions
    • D. Kinderlehrer, R.D. James, M. Luskin and J. Ericksen, eds, Springer
    • V. Šverák, On the problem of two wells, in Microstructure and phase transitions, IMA Vol. Appl Math. 54, (D. Kinderlehrer, R.D. James, M. Luskin and J. Ericksen, eds), Springer, 1993, pp. 183-189.
    • (1993) IMA Vol. Appl Math. , vol.54 , pp. 183-189
    • Šverák, V.1
  • 25
    • 0038831167 scopus 로고
    • Lower semicontinuity of variational integrals and compensated compactness
    • S.D. Chatterji, ed., Birkhäuser
    • V. Šverák, Lower semicontinuity of variational integrals and compensated compactness, in: Proc. ICM 1994 (S.D. Chatterji, ed.), vol. 2, Birkhäuser, 1995, pp. 1153-1158.
    • (1995) Proc. ICM 1994 , vol.2 , pp. 1153-1158
    • Šverák, V.1
  • 26
    • 0000440966 scopus 로고
    • Compensated compactness and partial differential equations
    • R. Knops, ed., Pitman
    • L. Tartar, Compensated compactness and partial differential equations, in: Nonlinear Analysis and Mechanics: Heriot-Watt Symposium Vol. IV, (R. Knops, ed.), Pitman, 1979, 136-212.
    • (1979) Nonlinear Analysis and Mechanics: Heriot-Watt Symposium , vol.4 , pp. 136-212
    • Tartar, L.1
  • 27
    • 0001530984 scopus 로고
    • Some remarks on separately convex functions, in: Microstructure and phase transitions
    • D. Kinderlehrer, R.D. James, M. Luskin and J.L. Ericksen, eds., Springer
    • L. Tartar, Some remarks on separately convex functions, in: Microstructure and phase transitions, IMA Vol. Math. Appl. 54, (D. Kinderlehrer, R.D. James, M. Luskin and J.L. Ericksen, eds.), Springer, 1993, pp. 191-204.
    • (1993) IMA Vol. Math. Appl. , vol.54 , pp. 191-204
    • Tartar, L.1
  • 28
    • 0000961974 scopus 로고
    • A course on Young measures
    • M. Valadier, A course on Young measures, Rend. Istit. Mat. Univ. Trieste 26 (1994) suppl., pp. 349-394.
    • (1994) Rend. Istit. Mat. Univ. Trieste , vol.26 , Issue.SUPPL. , pp. 349-394
    • Valadier, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.