On the generation of semigroups of nonlinear contractions
ジャーナル
フリー
1970 年 22 巻 4 号 p. 526-550
詳細
- Published: 1970 Received: 1969/12/10 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) H. Brezis and A. Pazy, Semi-groups of nonlinear contractions on convex sets, to appear in J. Func. Anal.
2) M. G. Crandall and A. Pazy, Semi-groups of nonlinear contractions and dissipative sets, J. Func. Anal., 3 (1969), 376-418.
3) M. G. Crandall and A. Pazy, On accretive sets in Banach spaces, J. Func. Anal., 5 (1970), 204-217.
4) J. R. Dorroh, A nonlinear Hille-Yosida-Phillips theorem, J. Func. Anal., 3 (1969), 345-353.
5) J. R. Dorroh, Some classes of semi-groups of nonlinear transformations and their generators, J. Math. Soc. Japan, 20 (1968), 437-455.
6) J. R. Dorroh, Semi-groups of nonlinear transformations, Michigan Math. J., 12 (1965), 317-320.
7) E. Hille and R. Phillips, Functional Analysis and Semi-Groups, Amer. Math. Soc. Colloq. Publ., 31, 1957.
8) Y. Komura, Nonlinear semigroups in Hilbert space, J. Math. Soc. Japan, 19 (1967), 493-507.
9) Y. Komura, Differentiability of nonlinear semigroups, J. Math. Soc. Japan, 21 (1969), 375-402.
10) T. Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan, 19 (1967), 503-520.
11) T. Kato, Accretive operators and nonlinear evolution equations in Banach spaces, Proc. Symposium Nonlinear Func. Anal. Amer. Math. Soc. (1968) (to appear).
12) I. Miyadera, On the convergence of nonlinear semigroups, Tohoku Math. J., 21 (2) (1969), 221-236.
13) I. Miyadera, On the convergence of nonlinear semigroups, II, J. Math. Soc. Japan, 21 (1969), 403-412.
14) I. Miyadera and S. Oharu, Approximation of semi-groups of nonlinear operators, Tohoku Math. J., 22 (1970), 24-47.
15) S. Oharu, Note on the representation of semi-groups of nonlinear operators, Proc. Japan Acad., 42 (1966), 1149-1154.
16) S. Oharu, Nonlinear semigroups in Banach spaces, to appear.
17) S. Oharu, A note on the generation of nonlinear semigroups in a locally convex space, Proc. Japan Acad., 43 (9) (1967), 847-851.
18) W. V. Petryshyn, Remarks on fixed point theorems and their extensions, Trans. Amer. Math. Soc., 12 (1) (1967), 43-53.
19) J. T. Schwartz, Nonlinear Functional Analysis, (1963-1964), Courant Inst. of Math. Sci., New York Univ.
20) J. Watanabe, Semi-groups of nonlinear operators on closed convex sets, proc. Japan Acad., 45 (4) (1969), 219-223.
Right : [1] H. Brezis and A. Pazy, Semi-groups of nonlinear contractions on convex sets, to appear in J. Func. Anal.
[2] M. G. Crandall and A. Pazy, Semi-groups of nonlinear contractions and dissipative sets, J. Func. Anal., 3 (1969), 376-418.
[3] M. G. Crandall and A. Pazy, On accretive sets in Banach spaces, J. Func. Anal., 5 (1970), 204-217.
[4] J. R. Dorroh, A nonlinear Hille-Yosida-Phillips theorem, J. Func. Anal., 3 (1969), 345-353.
[5] J. R. Dorroh, Some classes of semi-groups of nonlinear transformations and their generators, J. Math. Soc. Japan, 20 (1968), 437-455.
[6] J. R. Dorroh, Semi-groups of nonlinear transformations, Michigan Math. J., 12 (1965), 317-320.
[7] E. Hille and R. Phillips, Functional Analysis and Semi-Groups, Amer. Math. Soc. Colloq. Publ., 31, 1957.
[8] Y. Komura, Nonlinear semigroups in Hilbert space, J. Math. Soc. Japan, 19 (1967), 493-507.
[9] Y. Komura, Differentiability of nonlinear semigroups, J. Math. Soc. Japan, 21 (1969), 375-402.
[10] T. Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan, 19 (1967), 503-520.
[11] T. Kato, Accretive operators and nonlinear evolution equations in Banach spaces, Proc. Symposium Nonlinear Func. Anal. Amer. Math. Soc. (1968) (to appear).
[12] I. Miyadera, On the convergence of nonlinear semigroups, Tôhoku Math. J., 21 (2) (1969), 221-236.
[13] I. Miyadera, On the convergence of nonlinear semigroups, II, J. Math. Soc. Japan, 21 (1969), 403-412.
[14] I. Miyadera and S. Oharu, Approximation of semi-groups of nonlinear operators, Tôhoku Math. J., 22 (1970), 24-47.
[15] S. Oharu, Note on the representation of semi-groups of nonlinear operators, Proc. Japan Acad., 42 (1966), 1149-1154.
[16] S. Oharu, Nonlinear semigroups in Banach spaces, to appear.
[17] S. Oharu, A note on the generation of nonlinear semigroups in a locally convex space, Proc. Japan Acad., 43 (9) (1967), 847-851.
[18] W. V. Petryshyn, Remarks on fixed point theorems and their extensions, Trans. Amer. Math. Soc., 12 (1) (1967), 43-53.
[19] J. T. Schwartz, Nonlinear Functional Analysis, (1963-1964), Courant Inst. of Math. Sci., New York Univ.
[20] J. Watanabe, Semi-groups of nonlinear operators on closed convex sets, Proc. Japan Acad., 45 (4) (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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