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Volumn 2, Issue 1, 2007, Pages 1-36

Time-dependent systems of generalized young measures

Author keywords

Absolute continuity; Bounded variation; Concentration and oscillation effects; Weak derivatives; Young measures

Indexed keywords

ABSOLUTE CONTINUITY; BOUNDED VARIATIONS; CONCENTRATION AND OSCILLATION; WEAK DERIVATIVES; YOUNG MEASURE;

EID: 37349059096     PISSN: 15561801     EISSN: 1556181X     Source Type: Journal    
DOI: 10.3934/nhm.2007.2.1     Document Type: Article
Times cited : (18)

References (30)
  • 1
    • 21744438986 scopus 로고    scopus 로고
    • Non-uniform integrability and generalized Young measures
    • Alibert J.J., Bouchitté G., Non-uniform integrability and generalized Young measures, J. Convex Anal., 4 (1997), 129-147.
    • (1997) J. Convex Anal , vol.4 , pp. 129-147
    • Alibert, J.J.1    Bouchitté, G.2
  • 2
    • 84876640242 scopus 로고    scopus 로고
    • Ambrosio L., Tilli P., Selected Topics on Analysis in Metric Spaces, Appunti, Scuola Normale Superiore, Pisa, 2000.
    • Ambrosio L., Tilli P., "Selected Topics on "Analysis in Metric Spaces", Appunti, Scuola Normale Superiore, Pisa, 2000.
  • 4
    • 0000093666 scopus 로고
    • A version of the fundamental theorem for Young measures, PDEs and continuum models of phase transitions
    • Nice, Springer, Berlin
    • Ball J.M., A version of the fundamental theorem for Young measures, PDEs and continuum models of phase transitions (Nice, 1988), 207-215, "Lecture Notes in Phys.," 344, Springer, Berlin, 1989.
    • (1988) Lecture Notes in Phys , vol.344 , pp. 207-215
    • Ball, J.M.1
  • 6
    • 0003238886 scopus 로고
    • Semicontinuity, Relaxation and Integral Representation Problems in The Calculus of Variations
    • Pitman Res, Longman, Harlow
    • Buttazzo G., "Semicontinuity, Relaxation and Integral Representation Problems in The Calculus of Variations," Pitman Res. Notes Math. Ser., Longman, Harlow, 1989.
    • (1989) Notes Math. Ser
    • Buttazzo, G.1
  • 9
    • 33644607451 scopus 로고    scopus 로고
    • Quasistatic evolution problems for linearly elastic - perfectly plastic materials
    • Dal Maso G., DeSimone A., Mora M.G., Quasistatic evolution problems for linearly elastic - perfectly plastic materials, Arch. Ration. Mech. Anal., 180 (2006), 236-291.
    • (2006) Arch. Ration. Mech. Anal , vol.180 , pp. 236-291
    • Dal Maso, G.1    DeSimone, A.2    Mora, M.G.3
  • 11
    • 84876658879 scopus 로고    scopus 로고
    • Globally stable quasistatic evolution in plasticity with softening
    • In preparation
    • Dal Maso G., DeSimone A., Mora M.G., Morini M., Globally stable quasistatic evolution in plasticity with softening, In preparation.
    • Dal Maso, G.1    DeSimone, A.2    Mora, M.G.3    Morini, M.4
  • 12
    • 0030526460 scopus 로고    scopus 로고
    • Young measure solutions for a nonlinear parabolic equation of forward-backward type
    • Demoulini S., Young measure solutions for a nonlinear parabolic equation of forward-backward type, SIAM J. Math. Anal., 27 (1996), 376-403.
    • (1996) SIAM J. Math. Anal , vol.27 , pp. 376-403
    • Demoulini, S.1
  • 13
    • 0000863080 scopus 로고
    • Oscillations and concentrations in weak solutions of the incompressible fluid equations
    • DiPerna R.J., Majda A.J., Oscillations and concentrations in weak solutions of the incompressible fluid equations, Comm. Math. Phys., 108 (1987), 667-689.
    • (1987) Comm. Math. Phys , vol.108 , pp. 667-689
    • DiPerna, R.J.1    Majda, A.J.2
  • 14
    • 0040039871 scopus 로고    scopus 로고
    • Analysis of concentration and oscillation effects generated by gradients
    • Fonseca I., Müller S., Pedregal P., Analysis of concentration and oscillation effects generated by gradients, SIAM J. Math. Anal., 29 (1998), 736-756.
    • (1998) SIAM J. Math. Anal , vol.29 , pp. 736-756
    • Fonseca, I.1    Müller, S.2    Pedregal, P.3
  • 16
    • 84972542010 scopus 로고
    • Sublinear functions of measures and variational integrals
    • Goffman C., Serrin J., Sublinear functions of measures and variational integrals, Duke Math. J., 31 (1964), 159-178.
    • (1964) Duke Math. J , vol.31 , pp. 159-178
    • Goffman, C.1    Serrin, J.2
  • 18
    • 0001139965 scopus 로고
    • Characterizations of Young measures generated by gradients
    • Kinderlehrer D., Pedregal P., Characterizations of Young measures generated by gradients, Arch. Ration. Mech. Anal., 115 (1991), 329-365.
    • (1991) Arch. Ration. Mech. Anal , vol.115 , pp. 329-365
    • Kinderlehrer, D.1    Pedregal, P.2
  • 19
    • 0039931076 scopus 로고    scopus 로고
    • On the measures of DiPerna and Majda
    • Kružík M., Roubíček T., On the measures of DiPerna and Majda, Math. Bohem., 122 (1997), 383-399.
    • (1997) Math. Bohem , vol.122 , pp. 383-399
    • Kružík, M.1    Roubíček, T.2
  • 20
    • 0033154257 scopus 로고    scopus 로고
    • Optimization problems with concentration and oscillation effects: Relaxation theory and numerical approximation
    • Kružík M., Roubíček T., Optimization problems with concentration and oscillation effects: relaxation theory and numerical approximation, Numer. Funct. Anal. Optim., 20 (1999), 511-530.
    • (1999) Numer. Funct. Anal. Optim , vol.20 , pp. 511-530
    • Kružík, M.1    Roubíček, T.2
  • 22
    • 8644238070 scopus 로고    scopus 로고
    • Deriving new evolution equations for microstructures via relaxation of variational incremental problems
    • Mielke A., Deriving new evolution equations for microstructures via relaxation of variational incremental problems, Comput. Methods Appl. Mech. Engrg., 193 (2004), 5095-5127.
    • (2004) Comput. Methods Appl. Mech. Engrg , vol.193 , pp. 5095-5127
    • Mielke, A.1
  • 24
    • 0242427779 scopus 로고    scopus 로고
    • Young measure solutions for nonconvex elastodynamics
    • Rieger M.O., Young measure solutions for nonconvex elastodynamics, SIAM J. Math. Anal., 34 (2003), 1380-1398.
    • (2003) SIAM J. Math. Anal , vol.34 , pp. 1380-1398
    • Rieger, M.O.1
  • 26
    • 0004005933 scopus 로고
    • Gauthier-Villars, Paris, Translation of Problèmes mathématiques en plasticité. Gauthier-Villars, Paris
    • Temam R., "Mathematical Problems in Plasticity," Gauthier-Villars, Paris, 1985. Translation of Problèmes mathématiques en plasticité. Gauthier-Villars, Paris, 1983.
    • (1983) Mathematical Problems in Plasticity
    • Temam, R.1
  • 27
    • 84876612332 scopus 로고    scopus 로고
    • Valadier M., Young measures, Methods of nonconvex analysis (Varenna, 1989), 152-188, Lecture Notes in Math., Springer-Verlag, Berlin, 1990.
    • Valadier M., Young measures, Methods of nonconvex analysis (Varenna, 1989), 152-188, Lecture Notes in Math., Springer-Verlag, Berlin, 1990.
  • 29
    • 84876619230 scopus 로고    scopus 로고
    • Young L.C., Generalized curves and the existence of an attained absolute minimum in the calculus of variations, C. R. Sec. Sci. Lett. Varsovie Classe III, 30 (1937), 212-234.
    • Young L.C., Generalized curves and the existence of an attained absolute minimum in the calculus of variations, C. R. Sec. Sci. Lett. Varsovie Classe III, 30 (1937), 212-234.


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