Skip to main content
SpringerLink
Log in

Asymptotic analysis of the free boundary in singularly perturbed elliptic variational inequalities

  • Part I: Theory of Singular Perturbations
  • Conference paper
  • First Online:
Theory and Applications of Singular Perturbations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 942))

  • 357 Accesses

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

Access this chapter

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bensoussan, A. and J.-L. Lions, Applications des inéquations variationnelles en contrôle stochastique. Dunod, paris, 1978.

    MATH  Google Scholar 

  2. Brézis, H., Problèmes unilatéraux, J. Math. pures et appl. 51 (1972), 1–168.

    MATH  Google Scholar 

  3. Brézis, H. and G. Stampaccnia, Sur la régularité de la solution d'inéquations elliptiques, Bull. Soc. Math. France 96 (1968), 153–180.

    MathSciNet  MATH  Google Scholar 

  4. Eckhaus, W. and E.M. de Jager, Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type, Arch. Rational Mecn. Anal. 23 (1966), 26–86.

    Article  MathSciNet  MATH  Google Scholar 

  5. Eckhaus, W. and H.J.K. Moet, Asymptotic solutions in free boundary problems of singularly perturbed elliptic variational inequalities, Mathematics Studies, vol. 31, North-Holland, Amsterdam etc. 1978, pp. 59–73.

    MATH  Google Scholar 

  6. Huet, D., Perturbations singulières d'inégalités variationnelles, C.R. Acad. Sci. Paris, Sér A, 267 (1968), 932–934.

    MathSciNet  MATH  Google Scholar 

  7. Moet, H.J.K., Singular perturbation methods in a one-dimensional free boundary problem, Lecture Notes in Mathematics, vol. 711, Springer-Verlag, Berlin etc. 1979, pp. 63–75.

    MATH  Google Scholar 

  8. Moet, H.J.K., Sur la convergence de la frontière libre dans un problème de perturbations singulières d'une inéquation variationnelle elliptique, C.R. Acad. Sci. Paris, Sér. A, 290 (1980), 461–462.

    MathSciNet  MATH  Google Scholar 

  9. Moet, H.J.K., Book on singularly perturbed elliptic variational inequalities, (in preparation).

    Google Scholar 

  10. Stampacchia, G., Formes bilinéaires coercitives sur les ensembles convexes, C.R. Acad. Sci. Paris, 258 (1964), 4413–4416.

    MathSciNet  MATH  Google Scholar 

  11. van Harten, A., Singularly perturbed non-linear 2nd order elliptic boundary value problems, Utrecht, 1975, Thesis

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisch Instituut, Rijksuniversiteit Utrecht, Postbus 80.010, 3508 TA, Utrecht

    H. J. K. Moet

Authors
  1. H. J. K. Moet
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

W. Eckhaus E. M. de Jager

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Moet, H.J.K. (1982). Asymptotic analysis of the free boundary in singularly perturbed elliptic variational inequalities. In: Eckhaus, W., de Jager, E.M. (eds) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics, vol 942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094736

Download citation

  • DOI: https://doi.org/10.1007/BFb0094736

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11584-7

  • Online ISBN: 978-3-540-39332-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation