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Volumn 197, Issue 3, 1998, Pages 527-551

Asymptotic behaviour of the ground state of singularly perturbed elliptic equations

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EID: 0032475766     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050463     Document Type: Article
Times cited : (20)

References (15)
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    • Kozlov, S.M.: Reducibility of quasiperiodic operators and homogenization. Trans. Moscow Math. Soc. 46, 99-123 (1983)
    • (1983) Trans. Moscow Math. Soc. , vol.46 , pp. 99-123
    • Kozlov, S.M.1
  • 5
    • 0027577268 scopus 로고
    • Effective diffusion for a parabolic operator with periodic potential
    • Kozlov, S.M., Piatnitski, A.L.: Effective diffusion for a parabolic operator with periodic potential. SIAM J. Appl. Math. 53:2, 401-418 (1993)
    • (1993) SIAM J. Appl. Math. , vol.53 , Issue.2 , pp. 401-418
    • Kozlov, S.M.1    Piatnitski, A.L.2
  • 7
    • 0040357965 scopus 로고
    • An asymptotic behaviour and stabilization of the solutions of second order parabolic equation with low order terms
    • Zhikov, V.V.: An asymptotic behaviour and stabilization of the solutions of second order parabolic equation with low order terms. Transactions of Moscow Math. Soc. 46, 70-98, 1983
    • (1983) Transactions of Moscow Math. Soc. , vol.46 , pp. 70-98
    • Zhikov, V.V.1
  • 8
    • 32744464143 scopus 로고
    • n, spectral results and extensions to elliptic operators on Riemannian manifolds
    • Differential equations Birmingham, Ala., Amsterdam: North Holland
    • n, spectral results and extensions to elliptic operators on Riemannian manifolds. Differential equations (Birmingham, Ala., 1983), North Holland Math Stud. 92, Amsterdam: North Holland, 1984, pp. 7-17
    • (1983) North Holland Math Stud. , vol.92 , pp. 7-17
    • Agmon, S.1
  • 9
    • 0040357964 scopus 로고
    • The asymptotic behavior of the first real eigenvalue problem of second order elliptic operators with a small parameter in the highest derivatives, II
    • Devinatz, A., Ellis, R., Friedman, A.: The asymptotic behavior of the first real eigenvalue problem of second order elliptic operators with a small parameter in the highest derivatives, II. Indiana Univ. Math. J. 23, N11, 991-1011 (1974)
    • (1974) Indiana Univ. Math. J. , vol.23 , Issue.N11 , pp. 991-1011
    • Devinatz, A.1    Ellis, R.2    Friedman, A.3
  • 10
    • 0039173391 scopus 로고
    • The asymptotic behavior of the first real eigenvalue problem of second order elliptic operators with a small parameter in the highest derivatives, I
    • Friedman, A.: The asymptotic behavior of the first real eigenvalue problem of second order elliptic operators with a small parameter in the highest derivatives, I. Indiana Univ. Math. J. 2, 1005-1015 (1973)
    • (1973) Indiana Univ. Math. J. , vol.2 , pp. 1005-1015
    • Friedman, A.1
  • 11
    • 0039173394 scopus 로고
    • The asymptotic behaviour of the largest eigenvalue of a second order elliptic differential operator with a small parameter multiplying the highest derivatives
    • Wentzell, A.D.: The asymptotic behaviour of the largest eigenvalue of a second order elliptic differential operator with a small parameter multiplying the highest derivatives. Dokl. Akad. Nauk SSSR 202, 19-22 (1972)
    • (1972) Dokl. Akad. Nauk SSSR , vol.202 , pp. 19-22
    • Wentzell, A.D.1
  • 13
    • 0003308723 scopus 로고    scopus 로고
    • Lectures on exponential decay of solutions of second order elliptic equations: Bounds on eigenfunctions of n-body Schrödinger operators
    • Princeton, NJ: Princeton University Press
    • Agmon, S.: Lectures on exponential decay of solutions of second order elliptic equations: Bounds on eigenfunctions of n-body Schrödinger operators. Mathematical Notes 29. Princeton, NJ: Princeton University Press
    • Mathematical Notes , vol.29
    • Agmon, S.1
  • 14
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    • Homogenization of singularly perturbed operators
    • Homogenization and Application to Material Sciences
    • Piatnitski, A.L.: Homogenization of singularly perturbed operators. GAKUTO International Series, Math. Sciences and Appl., 9, Homogenization and Application to Material Sciences, 1997, pp. 355-361
    • (1997) GAKUTO International Series, Math. Sciences and Appl. , vol.9 , pp. 355-361
    • Piatnitski, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.