Bulletin of the American Mathematical Society

Singular Hammerstein equations and maximal monotone operators

H. Brézis and F. E. Browder

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc., Volume 82, Number 4 (1976), 623-625.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183538146

Mathematical Reviews number (MathSciNet)
MR0407671

Zentralblatt MATH identifier
0328.45007

Subjects
Primary: 47H05: Monotone operators and generalizations 47G05
Secondary: 47H15

Citation

Brézis, H.; Browder, F. E. Singular Hammerstein equations and maximal monotone operators. Bull. Amer. Math. Soc. 82 (1976), no. 4, 623--625. https://projecteuclid.org/euclid.bams/1183538146


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References

  • 1. H. R. Brézis, On some degenerate parabolic equations, Proc. Sympos. Pure Math., vol. 18, part 1, Amer. Math. Soc., Providence, R. I., 1970, pp. 28-38. MR 42 #8346.
  • 2. H. Brézis and F. E. Browder, Nonlinear integral equations and systems of Hammerstein type, Advances in Math. 18 (1975), 115-147.
  • 3. H. Brézis and F. E. Browder, Linear maximal monotone operators and singular nonlinear integral equations of Hammerstein type, E. Rothe Festschrift (to appear).
  • 4. F. E. Browder, Strongly nonlinear integral equations of Hammerstein type, Proc. Nat. Acad. Sci. U.S.A. 72 (1975), 1937-1939.
  • 5. M. G. Kreĭn, The theory of self-adjoint extensions of semi-bounded hermitian transformations and its applications. I, II, Mat. Sb. N.S. 20 (62) (1947), 431-495; ibid, 21 (63) (1947), 365-404. (Russian) MR 9, 515.[Note]
  • 6. R. S. Phillips, Dissipative operators and hyperbolic systems of partial differential equations, Trans. Amer. Math. Soc. 90 (1959), 193-254. MR 21 #3669.