메뉴 건너뛰기




Volumn 178, Issue 2, 2002, Pages 478-518

Spikes for the Gierer-Meinhardt system in two dimensions: The strong coupling case

Author keywords

Mathematical biology; Pattern formation; Singular perturbation; Strong coupling

Indexed keywords


EID: 0037137989     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2001.4019     Document Type: Article
Times cited : (84)

References (53)
  • 8
  • 12
    • 0032194927 scopus 로고    scopus 로고
    • Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
    • (1998) Math. Z , vol.229 , pp. 443-474
    • Gui, C.1    Ghoussoub, N.2
  • 13
    • 0001659459 scopus 로고    scopus 로고
    • "New Variational Principles and Multi-peak Solutions for the Semilinear Neumann Problem Involving the Critical Exponent"
    • Canadian Mathematical Society, 1945-199, Ottawa, ON
    • (1996) Canadian Math. Soc , vol.3 , pp. 125-152
    • Gui, C.1    Ghoussoub, N.2
  • 15
    • 0000860177 scopus 로고    scopus 로고
    • Multi-peak solutions for a semilinear Neumann problem
    • (1996) Duke Math. J , vol.84 , pp. 739-769
    • Gui, C.1
  • 19
    • 0003904047 scopus 로고
    • "Reaction-Diffusion Theory of Localized Structures with Application to Vertebrate Organogenesis"
    • Ph.D. thesis, University of British Columbia
    • (1995)
    • Holloway, D.M.1
  • 21
  • 23
    • 0002057398 scopus 로고    scopus 로고
    • Multiple strike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and approximate invariant manifold
    • (1999) Duke Math. J , vol.98 , pp. 59-111
    • Kowalczyk, M.1
  • 29
    • 85013526378 scopus 로고
    • "Models of Biological Pattern Formation"
    • Academic Press, London
    • (1982)
    • Meinhardt, H.1
  • 32
  • 41
    • 0000998584 scopus 로고
    • On positive multi-bump bound states of nonlinear Schrödinger equations under multiple-well potentials
    • (1990) Comm. Math. Phys , vol.131 , pp. 223-253
    • Oh, Y.G.1
  • 44
    • 0042624339 scopus 로고    scopus 로고
    • An asymptotic analysis of localized solutions for some reaction-diffusion models in multi-dimensional domains
    • (1996) Stud. Appl. Math , vol.97 , pp. 103-126
    • Ward, M.J.1
  • 45
  • 46
    • 0032398054 scopus 로고    scopus 로고
    • On the interior spike layer solutions of singularly perturbed semilinear Neumann problem
    • (1998) Tohoku Math. J , vol.50 , pp. 159-178
    • Wei, J.1
  • 49
    • 0033414750 scopus 로고    scopus 로고
    • On single interior spike solutions of Gierer-Meinhardt system: Uniqueness and spectrum estimates
    • (1999) Europ. J. Appl. Math , vol.10 , pp. 353-378
    • Wei, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.