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Quarterly of Applied Mathematics
Volumn 58, Issue 2, 2000, Pages 283-302
Multiple existence and linear stability of equilibrium balls in a nonlinear free boundary problem

(1)  Taniguchi, M a  

a NONE
Author keywords

[No Author keywords available]
Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; LINEARIZATION; PERTURBATION TECHNIQUES; THEOREM PROVING;
EID: 0033730902     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1753400     Document Type: Article
Times cited : (2)
References (12)
  • 2
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    • X. Chen, Generation and propagation of interfaces in reaction-diffusion systems, Trans. Amer. Math. Soc. (2) 334, 877-913 (1992)
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    • Chen, X.1
  • 3
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    • Dynamics of interfaces in reaction diffusion systems
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    • (1991) Hiroshima Math. J. , vol.21 , pp. 47-83
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  • 4
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    • Instability of spherical interfaces in a nonlinear free boundary problem
    • to appear in
    • X. Chen and M. Taniguchi, Instability of spherical interfaces in a nonlinear free boundary problem, to appear in Advances in Differential Equations
    • Advances in Differential Equations
    • Chen, X.1    Taniguchi, M.2
  • 6
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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
  • 7
    • 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, 821-835 (1992)
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 821-835
    • Giga, Y.1    Goto, S.2    Ishii, H.3
  • 8
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    • 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, 355-378 (1991)
    • (1991) Proc. Roy. Soc. Edinburgh , vol.118 A , pp. 355-378
    • Hilhorst, D.1    Nishiura, Y.2    Mimura, M.3
  • 9
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    • Aggregating pattern dynamics in a chemotaxis model including growth
    • M. Mimura and T. Tsujikawa, Aggregating pattern dynamics in a chemotaxis model including growth, Physica A 230, 499-543 (1996)
    • (1996) Physica A , vol.230 , pp. 499-543
    • Mimura, M.1    Tsujikawa, T.2
  • 10
    • 0000130504 scopus 로고
    • Layer oscillations in reaction-diffusion systems
    • Y. Nishiura and M. Mimura, Layer oscillations in reaction-diffusion systems, SIAM J. Appl. Math. 49, 481-514 (1989)
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 481-514
    • Nishiura, Y.1    Mimura, M.2
  • 11
    • 11544318802 scopus 로고
    • Higher-dimensional localized patterns in excitable media
    • T. Ohta, M. Mimura, and R. Kobayashi, Higher-dimensional localized patterns in excitable media, Physica D 34, 115-144 (1989)
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  • 12
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    • Instability of planar interfaces in reaction-diffusion systems
    • M. Taniguchi and Y. Nishiura, Instability of planar interfaces in reaction-diffusion systems, SIAM J. Math. Anal. (1) 25, 99-134 (1994)
    • (1994) SIAM J. Math. Anal. (1) , vol.25 , pp. 99-134
    • Taniguchi, M.1    Nishiura, Y.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.