Skip to main content

Difference approximations for some pseudodifferential equations in Rn

  • Conference paper
  • First Online:
Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 564))

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

Access this chapter

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 59.00
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. Frank, L. S., Difference operators in convolutions Soviet Math. Dokl. 9 (1968), 831–834

    MATH  Google Scholar 

  2. Frank, L. S., Spaces of network functions Math. USSR Sbornik, 15 (1971), 183–226

    Article  MATH  Google Scholar 

  3. Hildebrandt, S. and Wienholtz, E., Constructive Proofs of Representation Theorems in Separable Hilbert Space Comm. Pure Appl. Math. 17 (1964), 369–373

    Article  MathSciNet  MATH  Google Scholar 

  4. Kohn, J. J. and Nirenberg, L., An algebra of pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 269–305

    Article  MathSciNet  MATH  Google Scholar 

  5. Seeley, R., Topics in pseudo-differential operators C.I.M.E. — II Ciclo, Rom 1969, 169–305

    Google Scholar 

  6. Stephan, E., Differenzenapproximationen von Pseudo-Differentialoperatoren Dissertation, Darmstadt 1975

    Google Scholar 

  7. Stummel, F., Diskrete Konvergenz linearer Operatoren I Math. Ann. 190 (1970), 45–92

    Article  MathSciNet  MATH  Google Scholar 

  8. Stummel, F., Discrete Convergence of Mappings Proceedings of the Conference on Numerical Analysis, Dublin, August 1972

    Google Scholar 

  9. Vekua, I. N., Verallgemeinerte analytische Funktionen Akademie-Verlag, Berlin, 1963

    Google Scholar 

  10. Volevich, L. R. and Kagan, V. M., Hypoelliptic pseudo-differential operators in the theory of functional spaces Trans. Moscow Math. Soc. 20 (1969), 243–283

    MATH  Google Scholar 

Download references

Authors

Editor information

William N. Everitt Brian D. Sleeman

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Stephan, E. (1976). Difference approximations for some pseudodifferential equations in Rn . In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087363

Download citation

  • DOI: https://doi.org/10.1007/BFb0087363

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics