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Volumn 15, Issue 2, 1997, Pages 183-202

Stochastic homogenization for an integral functional of a quasiconvex function with linear growth

Author keywords

Epiconvergence; Ergodic theory; Homogenization; Stochastic processes

Indexed keywords


EID: 0009348750     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: 10.3233/asy-1997-15203     Document Type: Article
Times cited : (16)

References (26)
  • 1
    • 84971972568 scopus 로고
    • Rank one property for derivatives of functions with bounded variation
    • G. Alberti, Rank one property for derivatives of functions with bounded variation, Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), 239-274.
    • (1993) Proc. Roy. Soc. Edinburgh Sect. A , vol.123 , pp. 239-274
    • Alberti, G.1
  • 3
    • 0003513119 scopus 로고
    • Variational Convergence for Functions and Operators
    • Pitman Advanced Publishing Program
    • H. Attouch, Variational Convergence for Functions and Operators, Appl. Math. Ser., Pitman Advanced Publishing Program, 1984.
    • (1984) Appl. Math. Ser.
    • Attouch, H.1
  • 4
    • 0002386550 scopus 로고
    • Convergence et relaxation de fonctionelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité
    • G. Bouchitté, Convergence et relaxation de fonctionelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité, Ann. Fac. Sci. Toulouse Math. VIII(1) (1986/1987), 7-36.
    • (1986) Ann. Fac. Sci. Toulouse Math. , vol.8 , Issue.1 , pp. 7-36
    • Bouchitté, G.1
  • 5
    • 84942225190 scopus 로고
    • Stochastic two-scale convergence in the mean and applications
    • A. Bourgeat, A. Mikelic, and S. Wright, Stochastic two-scale convergence in the mean and applications, J. Reine Angew. Math. 456 (1994), 19-51.
    • (1994) J. Reine Angew. Math. , vol.456 , pp. 19-51
    • Bourgeat, A.1    Mikelic, A.2    Wright, S.3
  • 6
    • 0009444737 scopus 로고
    • Homogenization for some almost periodic coercive functionals
    • A. Braides, Homogenization for some almost periodic coercive functionals, Rend. Accad. Naz. Sci. XL103 (1985), 313-322.
    • (1985) Rend. Accad. Naz. Sci. , vol.XL103 , pp. 313-322
    • Braides, A.1
  • 9
    • 0002521237 scopus 로고
    • Non linear stochastic homogenization and ergodic theory
    • G. Dal Maso and L. Modica, Non linear stochastic homogenization and ergodic theory, J. Reine Angew. Math. 363 (1986), 27-42.
    • (1986) J. Reine Angew. Math. , vol.363 , pp. 27-42
    • Dal Maso, G.1    Modica, L.2
  • 13
    • 0345804938 scopus 로고
    • Commentaire sur l'article "Duality and relaxation in the variational problems of plasticity" de R. Temam et G. Strang
    • P. Germain, Commentaire sur l'article "Duality and relaxation in the variational problems of plasticity" de R. Temam et G. Strang, J. Mécanique 19(3) (1980), 529-538.
    • (1980) J. Mécanique , vol.19 , Issue.3 , pp. 529-538
    • Germain, P.1
  • 15
    • 84972542010 scopus 로고
    • Sublinear functions of measures and variational integrals
    • C. Goffman and J. Serrin, 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
    • 0345804941 scopus 로고
    • Stud, in Math., De Gruyter, Berlin
    • U. Krengel, Ergodic Theorems, Stud, in Math., Vol. 6, De Gruyter, Berlin, 1985.
    • (1985) Ergodic Theorems , vol.6
    • Krengel, U.1
  • 20
    • 0000297134 scopus 로고
    • Stochastic homogenization of nonconvex integral functionals
    • K. Messaoudi and G. Michaille, Stochastic homogenization of nonconvex integral functionals, Math. Modelling Numer. Anal. 28(3) (1994), 329-356.
    • (1994) Math. Modelling Numer. Anal. , vol.28 , Issue.3 , pp. 329-356
    • Messaoudi, K.1    Michaille, G.2
  • 21
    • 34047178348 scopus 로고
    • Homogenization of non convex integral functionals and cellular elastic material
    • S. Müller, Homogenization of non convex integral functionals and cellular elastic material, Arch. Rational Mech. Anal. (1987), 189-212, 1977.
    • (1987) Arch. Rational Mech. Anal. , pp. 189-212
    • Müller, S.1
  • 22
    • 0028548873 scopus 로고    scopus 로고
    • Homogenization of nonlinear random media by a duality method, application to plasticity
    • to appear
    • K. Sab, Homogenization of nonlinear random media by a duality method, application to plasticity, Asymptotic Anal., to appear.
    • Asymptotic Anal.
    • Sab, K.1
  • 24
    • 0001168879 scopus 로고
    • The spaces BV and quasilinear equations
    • A.I. Vol'pert, The spaces BV and quasilinear equations, Math. USSR-Sb. 2 (1967), 225-267.
    • (1967) Math. USSR-Sb. , vol.2 , pp. 225-267
    • Vol'pert, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.