References
J. B. Baillon and H. Brezis,Une remarque sur le comportement asymptotique des semi-groups nonlinéaries, Houston J. Math.2 (1976), 5–7.
H. Brezis,Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations, inContributions to Nonlinear Function Analysis, E. H. Zarantonello (ed.), Academic Press, New York, 1971, pp. 101–156.
H. Brezis,Opérateurs Maximaux Monotones et semigroups de Contractions dans les Espaces de Hilbert, North-Holland Publishing Co., Amsterdam, 1973.
H. Brezis and P. Benilan,Solutions faibles d’équations d’evolution dans les espaces de Hilbert, Ann. Inst. Fourier22 (1972), 311–329.
H. Brezis and P. L. Lions,Produits infinis de résolvants, Israel J. Math.29 (1978), 329–345.
R. E. Bruck,Asymptotic convergence of nonlinear contraction semigroups in Hilbert space, J. Functional Analysis18 (1975), 15–26.
M. Crandall and A. Pazy,Semigroups of nonlinear contractions and dissipative sets, J. Functional Analysis3 (1969), 376–418.
A. Pazy,The asymptotic behavior of semigroups of nonlinear contractions having large sets of fixed points, to appear in Proc. Roy. Soc. Edinburgh.
H. Tanabe,On Green’s function of elliptic and parabolic boundary value problems, Proc. Japan Acad.48 (1972), 709–711.
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Pazy, A. Strong convergence of semigroups on nonlinear contractions in Hilbert space. J. Anal. Math. 34, 1–35 (1978). https://doi.org/10.1007/BF02790006
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DOI: https://doi.org/10.1007/BF02790006