On the wellposed Cauchy problem for some dispersive equations

Shigeo TARAMA

doi:10.2969/jmsj/04710143

Shigeo TARAMA

著者情報

ジャーナルフリー

1995 年 47 巻 1 号 p. 143-158

DOI https://doi.org/10.2969/jmsj/04710143

詳細

Published: 1995 Received: 1992/04/15 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: Wrong : 1) W. Ichinose, Some remarks on the Cauchy problem for Schrödinger type equations, Osaka J. Math., 21 (1984), 565-581.
2) W. Ichinose, Sufficient condition on H_∞ well-posedness for Schrödinger type equations, Comm. Partial Differential Equations, 9-1 (1984), 33-48.
3) T. Kato, On the Cauchy Problem for the (Generalized) Korteweg-de Vries Equation, Studies in Appl. Math. Ad. in Math. Suppl. Stud., 8 (1983), 93-128.
4) S. Mizohata, On the Cauchy problem, Notes and Reports in Math., 3, Academic Press, 1985.
5) S. Mizohata, The theory of partial differential equations, Cambridge University Press, 1973.
6) J. Takeuchi, A necessary condition for the well-posedness of the Cauchy problem for certain class of evolution equations, Proc. Japan Acad., 50 (1974), 133-137.
7) J. Takeuchi, A necessary condition for H^∞-wellposedness of the Cauchy problem for linear partial differential operators of Schrödinger type, J. Math. Kyoto Univ., 25 (1985), 459-472.

Right : [1] W. Ichinose, Some remarks on the Cauchy problem for Schrödinger type equations, Osaka J. Math., 21 (1984), 565-581.
[2] W. Ichinose, Sufficient condition on H_∞ well-posedness for Schrödinger type equations, Comm. Partial Differential Equations, 9-1 (1984), 33-48.
[3] T. Kato, On the Cauchy Problem for the (Generalized) Korteweg-de Vries Equation, Studies in Appl. Math. Ad. in Math. Suppl. Stud., 8 (1983), 93-128.
[4] S. Mizohata, On the Cauchy problem, Notes and Reports in Math., 3, Academic Press, 1985.
[5] S. Mizohata, The theory of partial differential equations, Cambridge University Press, 1973.
[6] J. Takeuchi, A necessary condition for the well-posedness of the Cauchy problem for certain class of evolution equations, Proc. Japan Acad., 50 (1974), 133-137.
[7] J. Takeuchi, A necessary condition for H^∞-wellposedness of the Cauchy problem for linear partial differential operators of Schrödinger type, J. Math. Kyoto Univ., 25 (1985), 459-472.

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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