Skip to main content

Spaces of Vector-Valued Functions

  • Chapter
  • First Online:
  • 1030 Accesses

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 31))

Abstract

In this chapter we will introduce additional tools which are fundamentals for the study of evolutionary problems studied later in this book. We consider here spaces of functions defined on a time interval \(I \subset \mathbb{R}\) with values into a Banach or Hilbert space X. The results are presented without proofs and for details we refer to the bibliography.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   54.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Barbu, V.: Nonlinear Semigroups and Differential Equations in Banach Space. Noordhoff International Publishing, Leyden (1976)

    Google Scholar 

  2. Barbu, V.: Partial Differential Equations and Boundary Value Problems. Kluwer Academic, Dordrecht (1998)

    Google Scholar 

  3. Brézis, H.: Analyse Fonctionnelle. Mason, Paris (1983)

    Google Scholar 

  4. Cazenave, T., Haraux, A.: Introduction aux Problèmes Sémi-linéaires. Mathématiques et Applications. Ellipses, Paris (1990)

    Google Scholar 

  5. Dunford, L., Schwartz, L.: Linear Operators, Part I. Interscience, New York (1958)

    Google Scholar 

  6. Dunford, L., Schwartz, L.: Linear Operators, Part II. Interscience, London (1963)

    Google Scholar 

  7. Han, W., Sofonea, M.: Quasistatic contact problems in viscoelasticity and viscoplasticity. In: AMS/IP Studies in Advanced Mathematics, vol. 30. American Mathematical Society, Providence (2002)

    Google Scholar 

  8. Schwartz, L.: Théorie des Distributions à Valeurs Vectorielles I. Ann. Inst. Fourier VII, 1–141 (1958)

    Google Scholar 

  9. Yosida, K.: Functional Analysis. Springer, Berlin/Gottingen/Heidelberg (1965)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Capatina, A. (2014). Spaces of Vector-Valued Functions. In: Variational Inequalities and Frictional Contact Problems. Advances in Mechanics and Mathematics, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-319-10163-7_3

Download citation

Publish with us

Policies and ethics