메뉴 건너뛰기




Volumn 10, Issue 2, 2003, Pages 325-350

Multiscale Relaxation of Convex Functionals

Author keywords

convergence; A quasiconvexity; Convexity; Measurability selection criterion; Multiscale limits; Periodicity

Indexed keywords


EID: 1642338572     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (29)
  • 1
    • 21144473666 scopus 로고
    • Homogenization and two scale convergence
    • G. Allaire: Homogenization and two scale convergence, SIAM J. Math. Anal. 23 (1992) 1482-1518.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 2
    • 21344474078 scopus 로고    scopus 로고
    • Multiscale convergence and reiterated homogenization
    • G. Allaire, M. Briane: Multiscale convergence and reiterated homogenization, Proc. Royal Soc. Edin. 126 (1996) 297-342.
    • (1996) Proc. Royal Soc. Edin. , vol.126 , pp. 297-342
    • Allaire, G.1    Briane, M.2
  • 3
    • 0013198754 scopus 로고
    • Homogénéisation non-locale pour des équations dégénérées à coéfficients périodiques
    • Y. Amirat, K. Hamdache, A. Ziani: Homogénéisation non-locale pour des équations dégénérées à coéfficients périodiques, C. R. Acad. Sci. Paris 312 (1991) 963-966.
    • (1991) C. R. Acad. Sci. Paris , vol.312 , pp. 963-966
    • Amirat, Y.1    Hamdache, K.2    Ziani, A.3
  • 8
    • 0034408446 scopus 로고    scopus 로고
    • Reiterated homogenization of integral functionals
    • A. Braides, D. Lukkassen: Reiterated homogenization of integral functionals, Math. Mod. Meth. Appl.Sc. 10 (2000) 47-71.
    • (2000) Math. Mod. Meth. Appl.Sc. , vol.10 , pp. 47-71
    • Braides, A.1    Lukkassen, D.2
  • 9
    • 0039030756 scopus 로고    scopus 로고
    • 3D-2D asymptotic analysis for inhomogeneous thin films
    • A. Braides, I. Fonseca, G. Francfort: 3D-2D asymptotic analysis for inhomogeneous thin films, Indiana Univ. Math. J. 49 (2000) 1367-1404.
    • (2000) Indiana Univ. Math. J. , vol.49 , pp. 1367-1404
    • Braides, A.1    Fonseca, I.2    Francfort, G.3
  • 10
    • 0034425762 scopus 로고    scopus 로고
    • A-quasiconvexity: Relaxation and homogenization
    • A. Braides, I. Fonseca, G. Leoni: A-quasiconvexity: relaxation and homogenization, ESAIM:COCV 5 (2000) 539-577.
    • (2000) ESAIM:COCV , vol.5 , pp. 539-577
    • Braides, A.1    Fonseca, I.2    Leoni, G.3
  • 14
    • 33748487897 scopus 로고
    • Alcune osservazioni sulla convergenza debole di funzioni non uniformemente oscillanti
    • P. Donato: Alcune osservazioni sulla convergenza debole di funzioni non uniformemente oscillanti, Richerche Mat. 32 (1983) 203-219.
    • (1983) Richerche Mat. , vol.32 , pp. 203-219
    • Donato, P.1
  • 17
    • 0033249123 scopus 로고    scopus 로고
    • A-quasiconvexity, lower semicontinuity and Young measures
    • I. Fonseca, S. Müller: A-quasiconvexity, lower semicontinuity and Young measures, SIAM J. Math. Anal. 30 (1999) 1355-1390.
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 1355-1390
    • Fonseca, I.1    Müller, S.2
  • 18
    • 0040039871 scopus 로고    scopus 로고
    • Analysis of concentration and oscillation effects generated by gradients
    • I. Fonseca, S. Müller, P. Pedregal: 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
  • 19
    • 0001756668 scopus 로고
    • On lower semicontinuity of integral functionals I
    • A. D. Ioffe: On lower semicontinuity of integral functionals I, SIAM J. Cont. Optim. 15 (1977) 521-538.
    • (1977) SIAM J. Cont. Optim. , vol.15 , pp. 521-538
    • Ioffe, A.D.1
  • 20
    • 0001756668 scopus 로고
    • On lower semicontinuity of integral functionals II
    • A. D. Ioffe: On lower semicontinuity of integral functionals II, SIAM J. Cont. Optim. 15 (1977) 991-1000.
    • (1977) SIAM J. Cont. Optim. , vol.15 , pp. 991-1000
    • Ioffe, A.D.1
  • 22
    • 0041823126 scopus 로고
    • Periodic solutions and homogenization of non linear variational problems
    • P. Marcellini: Periodic solutions and homogenization of non linear variational problems, Ann. Mat. Pura Appl. 117 (1978) 139-152.
    • (1978) Ann. Mat. Pura Appl. , vol.117 , pp. 139-152
    • Marcellini, P.1
  • 23
    • 0002683104 scopus 로고
    • Approximation of quasiconvex functions and semicontinuity of multiple integrals
    • P. Marcellini: Approximation of quasiconvex functions and semicontinuity of multiple integrals, Manus. Math. 51 (1985) 1-28.
    • (1985) Manus. Math. , vol.51 , pp. 1-28
    • Marcellini, P.1
  • 26
    • 0000485374 scopus 로고
    • Compacité par compensation: Condition necessaire et suffisante de continuité faible sous une hypothése de rang constant
    • F. Murat: Compacité par compensation: condition necessaire et suffisante de continuité faible sous une hypothése de rang constant, Ann. Sc. Norm. Sup. Pisa 8 (1981) 68-102.
    • (1981) Ann. Sc. Norm. Sup. Pisa , vol.8 , pp. 68-102
    • Murat, F.1
  • 27
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • G. Nguetsteng: A general convergence result for a functional related to the theory of homogenization, SIAM J. Math. Anal. 20 (1989) 608-623.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 608-623
    • Nguetsteng, G.1
  • 28
    • 0000315622 scopus 로고
    • Asymptotic Analysis for a stiff variational problem arising in mechanics
    • G. Nguetsteng: Asymptotic Analysis for a stiff variational problem arising in mechanics, SIAM J. Math. Anal. 21 (1990) 1394-1414.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1394-1414
    • Nguetsteng, G.1
  • 29
    • 0000440966 scopus 로고
    • Compensated compactness and applications to partial differential equations
    • Nonlinear Analysis and Mechanics, R. J. Knops (ed.), Research Notes in Matemathics 39, Pitman
    • L. Tartar: Compensated compactness and applications to partial differential equations, in: Nonlinear Analysis and Mechanics, R. J. Knops (ed.), Heriott-Watt Symposium, vol. IV, Research Notes in Matemathics 39, Pitman (1979) 136-212.
    • (1979) Heriott-Watt Symposium , vol.4 , pp. 136-212
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.