Differentiability of nonlinear semigroups
ジャーナル
フリー
1969 年 21 巻 3 号 p. 375-402
詳細
- Published: 1969 Received: 1968/06/14 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/09/29 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 and nonlinear accretive operators in Banach spaces, Bull. Amer. Math. Soc., 73 (1967), 867-874.
2) E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ. 31, 1957.
3) T. Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan, 19 (1967), 508-520.
4) Y. Komura, Nonlinear semi-groups in Hilbert space, J. Math. Soc. Japan, 19 (1967), 493-507.
5) G. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29 (1962), 341-346.
6) I. Miyadera, On perturbation theory for semi-groups of operators, Tohoku Math. J., 18 (1966), 299-310.
7) H. Murakami, On nonlinear ordinary and evolution equations, Funkcial. Ekvac. 9 (1966), 151-162.
8) K. Yosida, Functional analysis, Springer, 1965.
9) H. Tanabe, On the regularity of solutions of abstract differential equations of parabolic type in Banach spaces, J. Math. Soc. Japan, 19 (1967), 521-542.
10) M. G. Crandall and A. Pazy, Nonlinear semigroups of contractions and dissipative sets, J. Func. Anal., 3 (1969), 376-418.
11) T. Kato, Accretive operators and nonlinear evolution equations in Banach spaces, to appear.
12) T. Kato, A note on the differentiability of nonlinear semigroups, to appear.
13) J. R. Dorroh, A nonlinear Hille-Yosida-Phillips theorem, J. Func. Anal., 3 (1969), 345-353.
14) J. Watanabe, Semigroups of nonlinear operators on closed convex sets, Proc. Japan Acad., 45 (1969), 219-223.
Right : [1] F. E. Browder, Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces, Bull. Amer. Math. Soc., 73 (1967), 867-874.
[2] E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ. 31, 1957.
[3] T. Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan, 19 (1967), 508-520.
[4] Y. Komura, Nonlinear semi-groups in Hilbert space, J. Math. Soc. Japan, 19 (1967), 493-507.
[5] G. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29 (1962), 341-346.
[6] I. Miyadera, On perturbation theory for semi-groups of operators, Tôhoku Math. J., 18 (1966), 299-310.
[7] H. Murakami, On nonlinear ordinary and evolution equations, Funkcial. Ekvac. 9 (1966), 151-162.
[8] K. Yosida, Functional analysis, Springer, 1965.
[9] H. Tanabe, On the regularity of solutions of abstract differential equations of parabolic type in Banach spaces, J. Math. Soc. Japan, 19 (1967), 521-542.
[10] M. G. Crandall and A. Pazy, Nonlinear semigroups of contractions and dissipative sets, J. Func. Anal., 3 (1969), 376-418.
[11] T. Kato, Accretive operators and nonlinear evolution equations in Banach spaces, to appear.
[12] T. Kato, A note on the differentiability of nonlinear semigroups, to appear.
[13] J. R. Dorroh, A nonlinear Hille-Yosida-Phillips theorem, J. Func. Anal., 3 (1969), 345-353.
[14] J. Watanabe, Semigroups of nonlinear operators on closed convex sets, Proc. Japan Acad., 45 (1969), 219-223.
訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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