Published: 1997 Received: February 21, 1994Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: 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.
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