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Volumn 5, Issue 4-6, 2000, Pages 747-772

Instability of spherical interfaces in a nonlinear free boundary problem

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EID: 22544466814     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (14)
  • 1
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    • Chen, X.1
  • 2
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    • Dynamics of interfaces in reaction diffusion systems
    • X-Y. Chen, Dynamics of interfaces in reaction diffusion systems, Hiroshima Math. J. 21 (1991), pp 47-83
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    • Chen, X.-Y.1
  • 4
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  • 5
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    • Spherical Harmonics
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    • C. Müller, Spherical Harmonics, Lecture Notes in Mathematics 17, Springer-Verlag, Berlin, Heidelberg, New York, 1966
    • (1966) Lecture Notes in Mathematics , vol.17
    • Müller, C.1
  • 6
    • 0343621039 scopus 로고
    • Global existence of weak solutions for interface equations coupled with diffusion equations
    • Y. Giga, S.Goto and H. Ishii, Global existence of weak solutions for interface equations coupled with diffusion equations, SIAM J. Math. Anal. 23 (1992), pp 821-835
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 821-835
    • Giga, Y.1    Goto, S.2    Ishii, H.3
  • 7
    • 84974329427 scopus 로고
    • A free boundary problem arising in some reaction-diffusion systems
    • D. Hilhorst, Y. Nishiura and M. Mimura, A free boundary problem arising in some reaction-diffusion systems, Proc. Roy. Soc. Edinburgh 118A (1991), pp 355-378
    • (1991) Proc. Roy. Soc. Edinburgh , vol.118 A , pp. 355-378
    • Hilhorst, D.1    Nishiura, Y.2    Mimura, M.3
  • 8
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    • Higher-dimensional localized patterns in excitable media
    • T. Ohta, M. Mimura and R. Kobayashi, Higher-dimensional localized patterns in excitable media, Physica D 34 (1989), pp 115-144
    • (1989) Physica D , vol.34 , pp. 115-144
    • Ohta, T.1    Mimura, M.2    Kobayashi, R.3
  • 9
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    • Asymptotics and Special Functions
    • Academic Press, New York, London
    • F. W. J. Olver, "Asymptotics and Special Functions", Academic Press, New York, London, 1974
    • (1974)
    • Olver, F.W.J.1
  • 10
    • 0004014565 scopus 로고
    • Maximum principles in Differential Equations
    • Springer-Verlag, New York, Berlin
    • M. Protter and H. Weinberger, "Maximum principles in Differential Equations", Springer-Verlag, New York, Berlin, 1984
    • (1984)
    • Protter, M.1    Weinberger, H.2
  • 11
    • 21344451118 scopus 로고    scopus 로고
    • Phase-field theory for FitzHugh-Nagumo-type systems
    • P. Soravia and P. E. Souganidis, Phase-field theory for FitzHugh-Nagumo-type systems, SIAM J. Math. Anal. 27 (1996), No. 5, pp 1341-1359
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  • 12
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    • Multiple existence and linear stability of equilibrium balls in a nonlinear free boundary problem
    • (to appear)
    • M. Taniguchi, Multiple existence and linear stability of equilibrium balls in a nonlinear free boundary problem, Quart. Appl. Math. (to appear)
    • Quart. Appl. Math.
    • Taniguchi, M.1
  • 13
    • 21344495929 scopus 로고
    • Instability of planar interfaces in reactiondiffusion systems
    • M. Taniguchi and Y. Nishiura, Instability of planar interfaces in reactiondiffusion systems, SIAM J. Math. Anal. 25 (1994), No. 1, pp 99-134
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.1 , pp. 99-134
    • Taniguchi, M.1    Nishiura, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.