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Volumn 60, Issue 1, 1998, Pages 91-108

Spike layer phenomena for pairs of second-order equations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0032001143     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/60.1.91     Document Type: Article
Times cited : (2)

References (11)
  • 1
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    • Asymptotic of a solution of contrast-structure type
    • BUTUZOV, V. F. & VASIL'EVA, A. B. 1987 Asymptotic of a solution of contrast-structure type. Math. Notes 42, 956-961.
    • (1987) Math. Notes , vol.42 , pp. 956-961
    • Butuzov, V.F.1    Vasil'eva, A.B.2
  • 2
    • 3843086432 scopus 로고
    • The asymptotic theory of contrasting spatial structures
    • BUTUZOV, V. F. & VASIL'EVA, A. B. 1988 The asymptotic theory of contrasting spatial structures. Comput. Maths. Math. Phys. 28, 26-36.
    • (1988) Comput. Maths. Math. Phys. , vol.28 , pp. 26-36
    • Butuzov, V.F.1    Vasil'eva, A.B.2
  • 3
    • 0016950595 scopus 로고
    • Boundary and interior transition layer phenomena for pairs of second-order differential equations
    • FIFE, P. C. 1976 Boundary and interior transition layer phenomena for pairs of second-order differential equations. J. Math. Anal. Appl. 54, 497-521.
    • (1976) J. Math. Anal. Appl. , vol.54 , pp. 497-521
    • Fife, P.C.1
  • 4
    • 84972578118 scopus 로고
    • A remark on singular perturbation methods
    • ITO, M. 1984 A remark on singular perturbation methods. Hiroshima Math. J. 14, 619-629.
    • (1984) Hiroshima Math. J. , vol.14 , pp. 619-629
    • Ito, M.1
  • 5
    • 0000364966 scopus 로고
    • On spike solutions of singularly perturbed semilinear Dirichlet problems
    • JANG, J. 1994 On spike solutions of singularly perturbed semilinear Dirichlet problems. J. Diff. Eqns 114, 370-395.
    • (1994) J. Diff. Eqns , vol.114 , pp. 370-395
    • Jang, J.1
  • 6
    • 0022075949 scopus 로고
    • Slowly varying phase planes and boundary-layer theory
    • KATH, W. L. 1985 Slowly varying phase planes and boundary-layer theory. Stud. Appl. Math. 72, 221-239.
    • (1985) Stud. Appl. Math. , vol.72 , pp. 221-239
    • Kath, W.L.1
  • 7
    • 0002025637 scopus 로고
    • Semilinear elliptic singular perturbation problems with nonuniform interior behavior
    • KELLEY, W. & KO, B. 1990 Semilinear elliptic singular perturbation problems with nonuniform interior behavior. J. Diff. Eqns 86, 88-101.
    • (1990) J. Diff. Eqns , vol.86 , pp. 88-101
    • Kelley, W.1    Ko, B.2
  • 8
    • 84990581933 scopus 로고
    • On the shape of least-energy solutions to a semilinear Neumann problem
    • Ni, W.-M. & TAKAGI, I. 1991 On the shape of least-energy solutions to a semilinear Neumann problem. Communs Pure Appl. Math. 44, 819-851.
    • (1991) Communs Pure Appl. Math. , vol.44 , pp. 819-851
    • Ni, W.-M.1    Takagi, I.2
  • 9
    • 84990662413 scopus 로고
    • On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems
    • NI, W.-M. & WEI, J. 1995 On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems. Communs Pure Appl. Math. 48, 731-768.
    • (1995) Communs Pure Appl. Math. , vol.48 , pp. 731-768
    • Ni, W.-M.1    Wei, J.2
  • 10
    • 0001099692 scopus 로고
    • Non-linear singular perturbation problems: Proofs of correctness of a formal approximation based on a contraction principle in a Banach space
    • VAN HARTEN, A. 1978 Non-linear singular perturbation problems: proofs of correctness of a formal approximation based on a contraction principle in a Banach space. J. Math. Anal. Appl. 65, 126-168.
    • (1978) J. Math. Anal. Appl. , vol.65 , pp. 126-168
    • Van Harten, A.1
  • 11
    • 84972584451 scopus 로고
    • Approximate Green functions as a tool to prove correctness of a formal approximation in a model of competing and diffusing species
    • VAN HARTEN, A. & VADER-BURGER, E. 1986 Approximate Green functions as a tool to prove correctness of a formal approximation in a model of competing and diffusing species. Pacific J. Math. 125, 225-249.
    • (1986) Pacific J. Math. , vol.125 , pp. 225-249
    • Van Harten, A.1    Vader-Burger, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.