Nonlinear semi-groups in Hilbert space
ジャーナル
フリー
1967 年 19 巻 4 号 p. 493-507
詳細
- Published: 1967 Received: 1967/04/03 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) F. E. Browder, Nonlinear equations of evolution, Ann. of Math., 80 (1964), 485-523.
2) H. Fujita, On the existence and regularity of the steady-state solutions of the Navier-Stokes equation, J. Fac. Sci. Univ. Tokyo, Sect. I, 9 (1961), 59-102.
3) E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ. 31, 1957.
4) T. Kato, Nonlinear evolution equations in Banach spaces, Proc. Symp. Appl. Math., Vol. XVII, 50-67, Amer. Math. Soc., Providence, R. I., 1965.
5) T. Komura, Semi-groups of operators in locally convex spaces, to appear.
6) J. L. Lions, Équation différentielles opérationelles, Springer, 1961.
7) G. J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29 (1962), 541-546.
8) J. W. Neuberger, An exponential formula one-parameter semi-groups of nonlinear transformations, J. Math. Soc. Japan, 18 (1966), 154-157.
9) I. E. Segal, Nonlinear semi-groups, Ann. of Math., 78 (1963), 339-364.
10) P. E. Sobolevskii. On the use of fractional powers of self-adjoint operators for the investigation of some nonlinear differential equations in Hilbert space (Russian), Dokl. Akad. Nauk SSSR, 130 (1960), 272-275.
11) H. Tanabe, On the equations of evolution in a Banach space, Osaka Math. J., 12 (1960), 363-376.
12) K. Yosida, Functional analysis, Springer, 1965.
Right : [1] F. E. Browder, Nonlinear equations of evolution, Ann. of Math., 80 (1964), 485-523.
[2] H. Fujita, On the existence and regularity of the steady-state solutions of the Navier-Stokes equation, J. Fac. Sci. Univ. Tokyo, Sect. I, 9 (1961), 59-102.
[3] E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ. 31, 1957.
[4] T. Kato, Nonlinear evolution equations in Banach spaces, Proc. Symp. Appl. Math., Vol. XVII, 50-67, Amer. Math. Soc., Providence, R. I., 1965.
[5] T. Komura, Semi-groups of operators in locally convex spaces, to appear.
[6] J. L. Lions, Équation différentielles opérationelles, Springer, 1961.
[7] G. J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29 (1962), 541-546.
[8] J. W. Neuberger, An exponential formula one-parameter semi-groups of nonlinear transformations, J. Math. Soc. Japan, 18 (1966), 154-157.
[9] I. E. Segal, Nonlinear semi-groups, Ann. of Math., 78 (1963), 339-364.
[10] P. E. Sobolevskii. On the use of fractional powers of self-adjoint operators for the investigation of some nonlinear differential equations in Hilbert space (Russian), Dokl. Akad. Nauk SSSR, 130 (1960), 272-275.
[11] H. Tanabe, On the equations of evolution in a Banach space, Osaka Math. J., 12 (1960), 363-376.
[12] K. Yosida, Functional analysis, Springer, 1965.
訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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