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Nonlinear evolution equations in Banach lattices


Author: Bruce Calvert
Journal: Bull. Amer. Math. Soc. 76 (1970), 845-850
MSC (1970): Primary 4720, 4750, 4780
DOI: https://doi.org/10.1090/S0002-9904-1970-12579-4
MathSciNet review: 0268732
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  • 1. H. Brezis and G. Stampacchia, Sur la régularité de la solution d'inéquations elliptiques, Bull. Soc. Math. France 96 (1968), 153-180. MR 39 #659. MR 239302
  • 2. F. Bohnenblust, An Axiomatic characterization of L, Duke Math J. 6 (1940), 627-640. MR 2, 102. MR 2701
  • 3. F. Browder, Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proc. Sympos. Pure Math., vol. 18, Part II, Amer. Math. Soc. Providence, R.I., (to appear). MR 405188
  • 4. M. Crandall and A. Pazy, Semigroups of nonlinear contractions and dissipative sets, J. Functional Analysis 3(1969), 376-418. MR 243383
  • 5. J. Dorroh, A nonlinear Hille-Yosida-Phillips theorem, J. Functional Analysis 3 (1969), 345-353. MR 39 #2019. MR 240673
  • 6. R. Kacurovskiĭ, Three theorems on nonlinear equations involving monotone operators, Dokl. Akad. Nauk SSSR 183 (1969), 33-36=Soviet Math. Dokl. 9 (1968), 1322-1325. MR 246172
  • 7. T. Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan 19 (1967), 508-520. MR 37 #1820. MR 226230
  • 8. Y. Kōmura, Nonlinear semi-groups in Hilbert space, J. Math. Soc. Japan 19 (1967), 493-507. MR 35 #7176. MR 216342
  • 9. M. Krasnosel'skiĭ, Positive solutions of operator equations, Fizmatgiz, Moscow, 1962; English transl., Noordhoff, Groningen, 1964. MR 26 #2862. MR 181881
  • 10. R. Phillips, Semi-groups of positive contraction operators, Czechoslovak Math. J. 12 (87) (1962), 294-313. MR 26 #4195. MR 146675
  • 11. K. Sato, On the generators of non-negative contraction semi-groups in Banach lattices, J. Math. Soc. Japan 20 (1968), 423-436. MR 37 #6798. MR 231243
  • 12. H. Schaefer, Topological vector spaces, Macmillan, New York, 1966. MR 33 #1689. MR 193469

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DOI: https://doi.org/10.1090/S0002-9904-1970-12579-4

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