Approximations of nonlinear evolution equations

William E. FITZGIBBON

doi:10.2969/jmsj/02520211

William E. FITZGIBBON

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JOURNAL FREE ACCESS

1973 Volume 25 Issue 2 Pages 211-221

DOI https://doi.org/10.2969/jmsj/02520211

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Published: 1973 Received: December 24, 1971 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 and A. Pazy, Accretive Sets and Differential Equations in Banach Space, (to appear).
2) H. Brezis and A. Pazy, Convergence and Approximation of Nonlinear Operators in Banach Spaces, (to appear).
3) H. Brezis and A. Pazy, Semigroups of Nonlinear Contractions on Convex Sets, J. Func. Anal., 6 (1970), 237-281.
4) M. Crandall and T. Liggett, Generation of Nonlinear Transformations on General Banach Spaces, (to appear).
5) M. Crandall and A. Pazy, Nonlinear Evolution Equations in Banach Spaces, MRC Technical Summery Report No. 1191.
6) W. Fitzgibbon, Time Dependent Nonlinear Cauchy Problems in Banach Spaces, (to appear in Proc. Amer. Math. Soc.)
7) J. Goldstein, Approximation of Nonlinear Semigroups and Evolution Equations, J. Math. Soc. Japan, 24 (1972), 558-573.
8) E. Hille and R. Phillips, Functional Analysis and Semigroups, Rev. e., Amer. Math. Soc. Colloq. Publ., Vol. 31, Providence, 1957.
9) T. Kato, Accretive Operators and Nonlinear Evolution Equations, Proc. Symp. Pure Math., Vol. 18, Providence, 1970, 138-161.
10) T. Kato, Nonlinear Semigroups and Evolution Equations, J. Math. Soc. Japan, 19 (1967), 508-520.
11) J. Mermin, Accretive Operators and Nonlinear Semigroups, Thesis, Univ. of California, Berkeley, 1968.
12) J. Mermin, An Exponential Limit Formula for Nonlinear Semigroups, Trans. Amer. Math. Soc., 150 (1970), 469-476.
13) I. Miyadera, On the Convergence of Semigroups, Tohoku Math. J., 21 (1969), 221-236.
14) I. Miyadera, On the Convergence of Nonlinear Semigroups, II, J. Math. Soc. Japan, 21 (1969), 403-412.
15) I. Miyadera and S. Oharu, Approximations of Semigroups of Nonlinear Operators, Tohoku Math. J., 22 (1970), 24-47.
16) G. Webb, Nonlinear Evolution Equations and Product Integration in Banach Spaces, Trans. Amer. Math. Soc., 148 (1970), 273-282.
17) G. Webb, Product Integral Representation of Time Dependent Nonlinear Evolution Equations in Banach Spaces, Pacific J. Math., 32 (1970), 269-281.

Right : [1] H. Brezis and A. Pazy, Accretive Sets and Differential Equations in Banach Space, (to appear).
[2] H. Brezis and A. Pazy, Convergence and Approximation of Nonlinear Operators in Banach Spaces, (to appear).
[3] H. Brezis and A. Pazy, Semigroups of Nonlinear Contractions on Convex Sets, J. Func. Anal., 6 (1970), 237-281.
[4] M. Crandall and T. Liggett, Generation of Nonlinear Transformations on General Banach Spaces, (to appear).
[5] M. Crandall and A. Pazy, Nonlinear Evolution Equations in Banach Spaces, MRC Technical Summery Report No. 1191.
[6] W. Fitzgibbon, Time Dependent Nonlinear Cauchy Problems in Banach Spaces, (to appear in Proc. Amer. Math. Soc.)
[7] J. Goldstein, Approximation of Nonlinear Semigroups and Evolution Equations, J. Math. Soc. Japan, 24 (1972), 558-573.
[8] E. Hille and R. Phillips, Functional Analysis and Semigroups, Rev. e., Amer. Math. Soc. Colloq. Publ., Vol. 31, Providence, 1957.
[9] T. Kato, Accretive Operators and Nonlinear Evolution Equations, Proc. Symp. Pure Math., Vol. 18, Providence, 1970, 138-161.
[10] T. Kato, Nonlinear Semigroups and Evolution Equations, J. Math. Soc. Japan, 19 (1967), 508-520.
[11] J. Mermin, Accretive Operators and Nonlinear Semigroups, Thesis, Univ. of California, Berkeley, 1968.
[12] J. Mermin, An Exponential Limit Formula for Nonlinear Semigroups, Trans. Amer. Math. Soc., 150 (1970), 469-476.
[13] I. Miyadera, On the Convergence of Semigroups, Tohoku Math. J., 21 (1969), 221-236.
[14] I. Miyadera, On the Convergence of Nonlinear Semigroups, II, J. Math. Soc. Japan, 21 (1969), 403-412.
[15] I. Miyadera and S. Oharu, Approximations of Semigroups of Nonlinear Operators, Tôhoku Math. J., 22 (1970), 24-47.
[16] G. Webb, Nonlinear Evolution Equations and Product Integration in Banach Spaces, Trans. Amer. Math. Soc., 148 (1970), 273-282.
[17] G. Webb, Product Integral Representation of Time Dependent Nonlinear Evolution Equations in Banach Spaces, Pacific J. Math., 32 (1970), 269-281.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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