메뉴 건너뛰기




Volumn 181, Issue 3, 2002, Pages 247-282

Homogenization and localization for a 1-D eigenvalue problem in a periodic medium with an interface

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347516199     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s102310100040     Document Type: Article
Times cited : (15)

References (25)
  • 1
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • Allaire, G.: Homogenization and two-scale convergence. SIAM J. Math. Anal. 23(6), 1482-1518 (1992)
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.6 , pp. 1482-1518
    • Allaire, G.1
  • 2
    • 0033469593 scopus 로고    scopus 로고
    • Homogenization of the criticality spectral equation in neutron transport
    • Allaire, G., Bal, G.: Homogenization of the criticality spectral equation in neutron transport. M2AN 33, 721-746 (1999)
    • (1999) M2AN , vol.33 , pp. 721-746
    • Allaire, G.1    Bal, G.2
  • 3
    • 0033687309 scopus 로고    scopus 로고
    • Homogenization of a spectral problem in neutronic multi-group diffusion
    • Allaire, G., Capdeboscq, Y.: Homogenization of a spectral problem in neutronic multi-group diffusion. Comput. Methods Appl. Mech. Engrg. 187, 91-117 (2000)
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.187 , pp. 91-117
    • Allaire, G.1    Capdeboscq, Y.2
  • 4
    • 0031994541 scopus 로고    scopus 로고
    • Bloch wave homogenization and spectral asymptotic analysis
    • Allaire, G., Conca, C.: Bloch wave homogenization and spectral asymptotic analysis. J. Math. Pures et Appli. 77, 153-208 (1998)
    • (1998) J. Math. Pures et Appli. , vol.77 , pp. 153-208
    • Allaire, G.1    Conca, C.2
  • 5
    • 0031116601 scopus 로고    scopus 로고
    • Analyse asymptotique spectrale d'Un problème de diffusion neutronique
    • Allaire, G., Malige, F.: Analyse asymptotique spectrale d'un problème de diffusion neutronique. C. R. Acad. Sci. Paris Série I t.324, 939-944 (1997)
    • (1997) C. R. Acad. Sci. Paris Série I , vol.324 , pp. 939-944
    • Allaire, G.1    Malige, F.2
  • 6
    • 0036383361 scopus 로고    scopus 로고
    • Uniform spectral asymptotics for singularly perturbed locally periodic operators
    • Allaire, G., Piatnitski, A.: Uniform spectral asymptotics for singularly perturbed locally periodic operators. Commun. Partial Differential Equations 27, 705-725 (2002)
    • (2002) Commun. Partial Differential Equations , vol.27 , pp. 705-725
    • Allaire, G.1    Piatnitski, A.2
  • 8
    • 0032210047 scopus 로고    scopus 로고
    • Homogenization of a diffusion equation with drift
    • Capdeboscq, Y.: Homogenization of a diffusion equation with drift. C. R. Acad. Sci. Paris Série I t.327, 807-812 (1998)
    • (1998) C. R. Acad. Sci. Paris Série I , vol.327 , pp. 807-812
    • Capdeboscq, Y.1
  • 10
    • 0036339156 scopus 로고    scopus 로고
    • Homogenization of a neutronic critical diffusion problem with drift
    • Capdeboscq, Y.: Homogenization of a neutronic critical diffusion problem with drift. Roy. Soc. Edin. Proc. A 132, 1-28 (2002)
    • (2002) Roy. Soc. Edin. Proc. A , vol.132 , pp. 1-28
    • Capdeboscq, Y.1
  • 11
    • 0033697984 scopus 로고    scopus 로고
    • Low frequency asymptotic analysis of a string with rapidly oscillating density
    • Castro, C., Zuazua, E.: Low frequency asymptotic analysis of a string with rapidly oscillating density. SIAM J. Appl. Math. 60(4), 1205-1233 (2000)
    • (2000) SIAM J. Appl. Math. , vol.60 , Issue.4 , pp. 1205-1233
    • Castro, C.1    Zuazua, E.2
  • 15
    • 0003549965 scopus 로고
    • Elliptic partial differential equations of second order, 2nd ed
    • Berlin-Heidelberg-New York: Springer
    • Gilbarg, D., Trudinger, N.: Elliptic Partial Differential Equations of Second Order, 2nd ed., Comprehensive Studies in Mathematics. Berlin-Heidelberg-New York: Springer 1983
    • (1983) Comprehensive Studies in Mathematics
    • Gilbarg, D.1    Trudinger, N.2
  • 17
    • 0027577268 scopus 로고
    • Effective diffusion for a parabolic operator with periodic potential
    • Kozlov, S., Piatnitski, A.: Effective diffusion for a parabolic operator with periodic potential. SIAM J. Appl. Math. 53, 401-418 (1993)
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 401-418
    • Kozlov, S.1    Piatnitski, A.2
  • 19
    • 0003653890 scopus 로고
    • Corrected reprint of the 1966 edition. Dover: Dover Publications
    • Magnus, W., Winkler, S.: Hill's Equation. Corrected reprint of the 1966 edition. Dover: Dover Publications 1979
    • (1979) Hill's Equation
    • Magnus, W.1    Winkler, S.2
  • 21
    • 33747195521 scopus 로고
    • H-convergence
    • Séminaire d'Analyse fonctionnelle et numérique de l'Université d'Alger
    • Murat, P., Tartar, L.: H-convergence. Séminaire d'Analyse Fonctionnelle et Numérique de l'Université d'Alger, mimeographed notes (1978).
    • (1978) Mimeographed Notes
    • Murat, P.1    Tartar, L.2
  • 22
    • 0002615070 scopus 로고    scopus 로고
    • Topics in the mathematical modelling of composite materials
    • Cherkaev, A., Kohn, R.V. (eds.). Boston: Birkhäuser
    • English translation in: Topics in the mathematical modelling of composite materials. Cherkaev, A., Kohn, R.V. (eds.). Progress in Nonlinear Differential Equations and their Applications, 31. Boston: Birkhäuser 1997
    • (1997) Progress in Nonlinear Differential Equations and their Applications , vol.31
  • 23
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • Nguetseng, G.: A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20, 608-623 (1989)
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 608-623
    • Nguetseng, G.1
  • 24
    • 0032475766 scopus 로고    scopus 로고
    • Asymptotic behaviour of the ground state of singularly perturbed elliptic equations
    • Piatnitski, A.: Asymptotic behaviour of the ground state of singularly perturbed elliptic equations. Commun. Math. Phys. 197, 527-551 (1998)
    • (1998) Commun. Math. Phys. , vol.197 , pp. 527-551
    • Piatnitski, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.