Remarques sur l'ensemble de zero d'une solution d'une équation parabolique en dimension d'espace 1

Kinji WATANABE

doi:10.2969/jmsj/04940817

Kinji WATANABE

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ジャーナルフリー

1997 年 49 巻 4 号 p. 817-832

DOI https://doi.org/10.2969/jmsj/04940817

詳細

Published: 1997 Received: 1994/02/21 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Right : [1] S. B. Angenent, The Morse Smale property for a semilinear parabolic equation, J. D. Eqs., 62 (1986), 427-442.
[2] S. B. Angenent, The zero set of a solution of a parabolic equation, J. reine angew. Math., 390 (1988), 79-96.
[3] S. B. Angenent and B. Fiedler, The dynamics of rotating waves in scalar reaction diffusion equation, Trans. Amer. Math. Soc., 307 (1988), 545-568.
[4] N. Kuiper, C¹-equivalence of functions near isolated critical points, Symposium Infinite Dimensional Topology (Baton Rouge, 1967), Annals of Math. Studies, no. 69, 199-218, 1972.
[5] H. Kunisch and G. Peichl, On the shape of the solutions of second order parabolic partial differential equations, J. D. Eqs., 75 (1988), 329-353.
[6] T. C. Kuo, On C⁰-sufficiency of jets of potential functions, Topology, 8 (1969), 167-171.
[7] J. L. Lions et B. Malgrange, Sur l'unicité rétrograde dans les problèmes mixtes paraboliques, Math. Scand., 8 (1960), 277-286.
[8] H. Matano, Convergence of solutions of one-dimensional semilinear parabolic equations,J. Math. Kyoto Univ., 18 (1978), 221-227.
[9] H. Matano, Asymptotic behavior of solutions of semilinear heat equations on S¹, in “Non linear Diffusion Equations and their Equilibrium States II”), W. -M. Ni and al. Eds, MSRI Publications vol. 13, (1988), 139-162.
[10] S. Mizohata, Unicité du prolongement des solutions pour quelques opérateurs différentials paraboliques, Mem. Coll. Sci. Univ. Kyoto, 31 (1958), 219-239.
[11] K. Nickle, Gestaltsaussagen über Lösungen parabolischen Differentialgeichungen, J. reine angew. Math., 211 (1962), 78-94.
[12] L. Paunescu, A weighted version of the Kuiper-Kuo-Bochnak-Lojasiewicz theorem,J. Algebraic Geometry, 2 (1993), 69-79.
[13] K. Watanabe, Sur l'unicité rétrograde dans les problèmes mixtes paraboliques; Cas de dimension 1, J. Math. Soc. Japan, 42 (1990), 377-386.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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