Skip to main content
SpringerLink
Log in
Book cover

Jean Leray ’99 Conference Proceedings pp 389–410Cite as

Regularisation of Mixed Boundary Problems

  • Conference paper

  • 311 Accesses

Part of the book series: Mathematical Physics Studies ((MPST,volume 24))

Abstract

We show an application of the spectral theorem in constructing approximate solutions of mixed boundary value problems for elliptic equations.1

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   39.99
Price excludes VAT (USA)
  • Available as 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Duduchava, R. and Wendland, W., The Wiener–Hopf method for systems of pseudo-differential equations with an application to crack problems, Integral Equ. and Operator Theory 23 (1995), 294 – 335.

    Article  MathSciNet  MATH  Google Scholar 

  2. Eskin, G., Boundary value problems for elliptic pseudo-differential operators, Nauka, Moscow 1973.

    Google Scholar 

  3. Nacinovich, M. and Shlapunov, A. A., On iterations of the Green integrals and their applications to elliptic differential complexes, Math. Nachr. 180 (1996), 243 – 286.

    Article  MathSciNet  MATH  Google Scholar 

  4. Nazarov, S.-A. and Plamenevskii, B.-A., Elliptic boundary value problems in domains with piecewise smooth boundary, Nauka, Moscow 1991.

    Google Scholar 

  5. Roitberg, Ya.-A., Elliptic boundary value problems in generalized functions, Kluwer Academic Publishers, Dordrecht NL 2000.

    Google Scholar 

  6. Romanov, A.-V., Convergence of iterations of Bochner–Martinelli operator, and the Cauchy–Riemann system, Dokl. Akad. Nauk SSSR (4) 242 (1978), 780 – 783.

    MathSciNet  Google Scholar 

  7. Schulze, B.-W., Crack problems in the edge pseudo-differential calculus, Applic. Analysis 45 (1992), 333 – 360.

    Article  MathSciNet  MATH  Google Scholar 

  8. Schulze, B.-W., Pseudo-differential calculus and applications to non-smooth config- urations, Preprint 99/16, Univ. Potsdam, July 1999, p. 135.

    Google Scholar 

  9. Tarkhanov, N.-N., The Cauchy problem for solutions of elliptic equations, Akademie–Verlag, Berlin 1995.

    MATH  Google Scholar 

  10. Yosida, K., Functional analysis, Springer–Verlag, Berlin et al. 1965.

    Google Scholar 

Download references

Authors
  1. B.-W. Schulze
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Shlapunov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Tarkhanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Health, Science and Mathematics, Blekinge Institute of Technology, Karlskrona, Sweden

    Maurice de Gosson

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Schulze, BW., Shlapunov, A., Tarkhanov, N. (2003). Regularisation of Mixed Boundary Problems. In: de Gosson, M. (eds) Jean Leray ’99 Conference Proceedings. Mathematical Physics Studies, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2008-3_26

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-2008-3_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6316-8

  • Online ISBN: 978-94-017-2008-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation