Book Review
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MathSciNet review:
1567063
Full text of review:
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Book Information:
Author:
Viorel Barbu
Title:
Nonlinear semigroups and differential equations in Banach spaces
Additional book information:
Noordhoff International Publishing, Leyden, The Nethedands, 1976, 352 pp.
1. H. Brezis, Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert, Math. Studies no. 5, North-Holland, Amsterdam, 1973.
Michael G. Crandall, An introduction to evolution governed by accretive operators, Dynamical systems (Proc. Internat. Sympos., Brown Univ., Providence, R.I., 1974) Academic Press, New York, 1976, pp. 131–165. MR 0636953
Michael G. Crandall and L. C. Evans, On the relation of the operator $\partial /\partial s+\partial /\partial \tau$ to evolution governed by accretive operators, Israel J. Math. 21 (1975), no. 4, 261–278. MR 390853, DOI 10.1007/BF02757989
Yoshikazu Kobayashi, Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups, J. Math. Soc. Japan 27 (1975), no. 4, 640–665. MR 399974, DOI 10.2969/jmsj/02740640
5. I. Miyadera and Y. Kobayashi, Convergence and approximation of nonlinear semigroups, Proc. Japan-France Seminar on Functional Analysis and Numerical Analysis, Tokyo, 1976 (to appear).
- 1.
- H. Brezis, Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert, Math. Studies no. 5, North-Holland, Amsterdam, 1973.
- 2.
- M. G. Crandall, An introduction to evolution governed by accretive operators, Dynamical Systems. Vol. 1: An International Symposium, Academic Press, New York, 1976, pp. 131-165. MR 0636953
- 3.
- M. G. Crandall and L. C. Evans, On the relation of the operator ∂/∂s + ∂/∂r to evolution governed by accretive operators, Israel J. Math. 21 (1975), 261-278. MR 390853
- 4.
- Y. Kobayashi, Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups, J. Math. Soc. Japan 27 (1975), 640-665. MR 399974
- 5.
- I. Miyadera and Y. Kobayashi, Convergence and approximation of nonlinear semigroups, Proc. Japan-France Seminar on Functional Analysis and Numerical Analysis, Tokyo, 1976 (to appear).
Review Information:
Reviewer:
Michael G. Crandall
Journal:
Bull. Amer. Math. Soc.
84 (1978), 632-637
DOI:
https://doi.org/10.1090/S0002-9904-1978-14506-6