On certain nonlinear evolution equations

Jiro WATANABE

doi:10.2969/jmsj/02530446

Jiro WATANABE

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JOURNAL FREE ACCESS

1973 Volume 25 Issue 3 Pages 446-463

DOI https://doi.org/10.2969/jmsj/02530446

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Published: 1973 Received: May 22, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. Brezis, Propriétés régularisantes de certains semi-groupes non linéaires, Israel J. Math., 9 (1971), 513-534.
2) M.G. Crandall and T.M. Liggett, Generation of semi-groups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93 (1971), 265-298.
3) M.G. Crandall and A. Pazy, Semi-groups of nonlinear contractions and dissipative sets, J. Functional Anal., 3 (1969), 376-418.
4) E. Hille and R.S. Phillips, Functional Analysis and Semi-groups, Amer. Math. Soc. Colloq. Publ., Vol. 31, 1957.
5) T. Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan, 19 (1967), 508-520.
6) T. Kato, Accretive operators and nonlinear evolution equations in Banach spaces, Nonlinear Functional Analysis, Proc. Symp. Pure Math., Amer. Math. Soc., 18, Part 1 (1970), 138-161.
7) Y. Komura, Nonlinear semi-groups in Hilbert space, J. Math. Soc. Japan, 19 (1967), 493-507.
8) J.J. Moreau, Proximité et dualité dans un espace hilbertien, Bull. Soc. Math. France, 93 (1965), 273-299.
9) H. Murakami, On non-linear ordinary and evolution equations, Funkcialaj Ekvacioj, 9 (1966), 151-162.
10) J. Watanabe, On nonlinear semigroups generated by cyclically dissipative sets, J. Fac. Sci. Univ. Tokyo, Sec. IA, 18 (1971), 127-137.
11) K. Yosida, Functional Analysis, 2nd ed., Springer-Verlag, Kinokuniya Book-Store, 1968.

Right : [1] H. Brezis, Propriétés régularisantes de certains semi-groupes non linéaires, Israel J. Math., 9 (1971), 513-534.
[2] M. G. Crandall and T. M. Liggett, Generation of semi-groups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93 (1971), 265-298.
[3] M. G. Crandall and A. Pazy, Semi-groups of nonlinear contractions and dissipative sets, J. Functional Anal., 3 (1969), 376-418.
[4] E. Hille and R. S. Phillips, Functional Analysis and Semi-groups, Amer. Math. Soc. Colloq. Publ., Vol. 31, 1957.
[5] T. Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan, 19 (1967), 508-520.
[6] T. Kato, Accretive operators and nonlinear evolution equations in Banach spaces, Nonlinear Functional Analysis, Proc. Symp. Pure Math., Amer. Math. Soc., 18, Part 1 (1970), 138-161.
[7] Y. Komura, Nonlinear semi-groups in Hilbert space, J. Math. Soc. Japan, 19 (1967), 493-507.
[8] J. J. Moreau, Proximité et dualité dans un espace hilbertien, Bull. Soc. Math. France, 93 (1965), 273-299.
[9] H. Murakami, On non-linear ordinary and evolution equations, Funkcialaj Ekvacioj, 9 (1966), 151-162.
[10] J. Watanabe, On nonlinear semigroups generated by cyclically dissipative sets, J. Fac. Sci. Univ. Tokyo, Sec. IA, 18 (1971), 127-137.
[11] K. Yosida, Functional Analysis, 2nd ed., Springer-Verlag, Kinokuniya Book-Store, 1968.

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