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Crandall, M. G.; Pazy, A.

Nonlinear evolution equations in Banach spaces. (English) Zbl 0249.34049

Isr. J. Math. 11, 57-94 (1972).
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Cited in 11 Reviews
Cited in 137 Documents

MSC:

34G99 Differential equations in abstract spaces
35K99 Parabolic equations and parabolic systems
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\textit{M. G. Crandall} and \textit{A. Pazy}, Isr. J. Math. 11, 57--94 (1972; Zbl 0249.34049)
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References:

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[2] H. Brezis,On a problem of T. Kato, Comm. Pure Appl. Math.,24 (1971), 1–6. · Zbl 0208.39102
[3] H. Brezis,Semi-groupes non linéaires et applications, Symposium sur les problèmes d’évolution, Istituto Nazionale di Alta Mathematica, Rome, May 1970.
[4] H. Brezis, M. G. Crandall and A. Pazy,Perturbations of nonlinear maximal monotone sets in Banach space, Comm. Pure Appl. Math.23 (1970), 123–144. · Zbl 0182.47501
[5] H. Brezis and A. Pazy,Convergence and approximation of semigroups of nonlinear operators in Banach space, J. Functional Analysis, to appear.
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[11] M. G. Crandall and A. Pazy,Semi-groups of nonlinear contractions and dissipative sets, J. Functional Analysis3 (1969), 376–418. · Zbl 0182.18903
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[13] E. Hille and R. S. Phillips,Functional Analysis and Semi-groups, Amer. Math. Soc. Coll. Publ. Vol. 31, Providence, R.I. 1957. · Zbl 0078.10004
[14] T. Kato,Nonlinear semi-groups and evolution equations, J. Math. Soc. Japan19 (1967), 508–520. · Zbl 0163.38303
[15] T. Kato,Accretive operators and nonlinear evolution equations in Banach spaces, Proc. Symp. in Pure Math.18, Part I, Amer. Math. Soc., Providence, Rhode Island, 138–161.
[16] R. H. Martin, Jr.,Differential Equations on Closed Subsets of a Banach Space, to appear.
[17] R. H. Martin, Jr.,Generating an evolution system in a class of uniformly convex Banach spaces, to appear.
[18] I. Miyadera,Some remarks on semigroups of nonlinear operators, Tôhoku Math. J.23 (1971), 245–258. · Zbl 0219.47060
[19] S. Ôharu,On the generation of semigroups of nonlinear contractions, J. Math. Soc. Japan22 (1970), 526–550. · Zbl 0198.18601
[20] A. Pazy,Semigroups of nonlinear operators in Hilbert space, Problems in Non-Linear Analysis, C.I.M.E. session 4 1970, Edizioni Cremonese Rome, pp. 343–430.
[21] G. F. Webb,Nonlinear evolution equations and product stable operators in Banach spaces, Trans. Amer. Math. Soc.155 (1971), 409–426. · Zbl 0213.41104
[22] K. Yosida,Functional Analysis, Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen,123, Academic Press, New York, 1965.
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