Skip to main content
SpringerLink
Log in
Book cover

Nonlinear Evolution Equations — Global Behavior of Solutions pp 39–95Cite as

Theory of monotone operators and applications

  • A. The Cauchy Problem
  • Chapter
  • First Online:

  • 734 Accesses

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 841))

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography for Chapter III

  1. Ph. Benilan, H. Brézis, Solution faibles d'équations d'évolution dans les espaces de Hilbert. Ann. Inst. Fourier (Grenoble) 22(1972), 311–329.

    Article  MathSciNet  MATH  Google Scholar 

  2. H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, Amsterdam, North-Holland, 1973.

    Google Scholar 

  3. H. Brézis, Problèmes unilatéraux, J. Math. Pures Appl. 51 (1972), 1–168.

    MathSciNet  MATH  Google Scholar 

  4. H. Brézis, A. Haraux, Image d'une somme d'opérateurs monotones et applications, Israel J. of Math., 23, 165–186.

    Google Scholar 

  5. F. Browder, Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69(1963), 862–874.

    Article  MathSciNet  MATH  Google Scholar 

  6. F. Browder, Problèmes non linéaires, Presses de l'Université de Montreal (1966).

    Google Scholar 

  7. H. Debrunner, P. Flor, Ein Erweiterungssatz für Monotone Mengen, Arch. Math. 15(1964), 445–447.

    Article  MathSciNet  MATH  Google Scholar 

  8. Y. Komura, Nonlinear semi-groups in Hilbert space, J. Math. Soc. Japan 19(1967), 493–507.

    Article  MathSciNet  MATH  Google Scholar 

  9. Y. Komura, Differentiability of nonlinear semi-groups, J. Math. Soc. Japan 21(1969), 375–402.

    Article  MathSciNet  MATH  Google Scholar 

  10. G. Minty, On the maximal domain of a monotone function, Michigan Math. J. 8(1961), 135–137.

    Article  MathSciNet  MATH  Google Scholar 

  11. G. Minty, Monotone (nonlinear) operators in a Hilbert space, Duke Math. J. 29(1962), 341–346.

    Article  MathSciNet  MATH  Google Scholar 

  12. G. Minty, On a monotonicity method for the solution of nonlinear equations in Banach spaces, Proc. Nat. Acad. Sci. U.S.A. 50(1963), 1038–1041.

    Article  MathSciNet  MATH  Google Scholar 

  13. G. Minty, On the monotonicity of the gradient of a convex function, Pacific J. Math. 14(1964), 243–247.

    Article  MathSciNet  MATH  Google Scholar 

  14. J.J. Moreau, Fonctionnelles convexes, Séminaire sur les équations aux deriveés partielles, College de France 1966–67.

    Google Scholar 

  15. R.T. Rockafellar, Characterization of the subdifferentials of convex functions, Pacific J. of Math. 17(1966), 497–510.

    Article  MathSciNet  MATH  Google Scholar 

  16. R.T. Rockafellar, Local boundedness of nonlinear monotone operators, Michigan Math. J. 16(1970), 397–407.

    MathSciNet  MATH  Google Scholar 

  17. R.T. Rockafellar, On the maximality of sums of nonlinear monotone operators, Trans. Amer. Math. Soc. (1971).

    Google Scholar 

  18. R.T. Rockafellar, Convex analysis, Princeton University Press (1970).

    Google Scholar 

  19. W. Strauss, The energy method in nonlinear partial differential equations, Notas de Matematica No. 47, Rio de Janeiro (1969).

    Google Scholar 

  20. E. Zarantanello, Solving functional equations by contractive averaging, Math. Research Center Report No. 160, Madison, Wisconsin (1960).

    Google Scholar 

Download references

Authors
  1. Alain Haraux
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this chapter

Cite this chapter

Haraux, A. (1981). Theory of monotone operators and applications. In: Nonlinear Evolution Equations — Global Behavior of Solutions. Lecture Notes in Mathematics, vol 841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089609

Download citation

  • DOI: https://doi.org/10.1007/BFb0089609

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10563-3

  • Online ISBN: 978-3-540-38534-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation