Skip to main content

Mellin Pseudodifferential Operators with Operator Symbols and its Applications

  • Conference paper
Partial Differential Operators and Mathematical Physics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 78))

Abstract 1

Mellin pseudodifferential operators based on Mellin transform naturally arise in the theory of boundary value problems on manifolds with singularities (see the pioneering paper [1], the recent monographs [2]–[3] and papers [4]–[8]).

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. V. A. Kondratyev. Boundary problems for elliptic equations with conic or salient points [in Russian]. Trudy Mosk. Mat. Ob., Vo1. 16 (1963), 121–292.

    Google Scholar 

  2. B.-W. Schulze. Pseudodifferential operators on manifolds with singularities. Amsterdam: North-Holland, 1991.

    Google Scholar 

  3. B.-W. Schulze. Pseudodifferential operators and analysis on manifolds with corners, part I-IV, VI-IX, Reports of the Karl-Weierstrass-Institute, Berlin, 1989–1991, parts XII, XIII: preprints no.214 and 220, SFB 256, Univ Borm., 1992.

    Google Scholar 

  4. E. Schrohe. Boundary value problems in Boutet de Monvel’s algebra for manifolds with conical singularities. Abstract of the Conference “Partial Differential Equations”, Potsdam, Sept. 6–10, 1993.

    Google Scholar 

  5. B.-W. Schulze, Pseudodifferential operators on manifolds with eges, Symp. “Part. Diff. Equ.” Holzhau, 1988, Teubuer Texte zur Mathematik 112, 259–288, Leipzig, 1989.

    MathSciNet  Google Scholar 

  6. B.-W. Schulze. The Mellin pseudodifferential calculus on manifolds with corners. Proc. Symp. “Analysis on manifolds with singularities”, Breitenbrunn, 1990, Teubner Texte zur Mathematik 131, 208–290.

    MathSciNet  Google Scholar 

  7. V.S. Rabinovich. Criteria of local invertibility of Mellin pseudodifferential operators with operator symbols and its applications [in Russian]. Doklady Ros. Akademii Nauk, Math., 1993, vol. 333, no. 2, 147–150.

    Google Scholar 

  8. V.S. Rabinovich. Criteria of local invertibility of pseudo differential operators with operator symbols and some its applications. It will be published the journ. “Trudy Sankt-Peterburg Mat. Ob.”.

    Google Scholar 

  9. V.V. Grushin. Pseudodifferential operators on ℝn with bounded symbols [in Russian]. Funct. Analis i ego priloz., no. 4, 1970, 202–212.

    MATH  Google Scholar 

  10. V.S. Rabinovich. The Noetherian properties of pseudo differential operators with symbols from class S mϱ ,δ(0 ≤ δ = ϱ < 1, δ < 1) [in Russian]. Matem. Zametki, 27, 1980, 226–231.

    MathSciNet  MATH  Google Scholar 

  11. S. Rempel and B.-W.Schulze. Index Theories of elliptic boundary problems. Akademie-Verlag, Berlin.

    Google Scholar 

  12. G. Grubb. Functional calculus of pseudodifferential boundary value problems. Progress in Math., vol. 65, Boston, Basel, Birkhäuser, 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Birkhäuser Verlag Basel/Switzerland

About this paper

Cite this paper

Rabinovich, V.S. (1995). Mellin Pseudodifferential Operators with Operator Symbols and its Applications. In: Demuth, M., Schulze, BW. (eds) Partial Differential Operators and Mathematical Physics. Operator Theory Advances and Applications, vol 78. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9092-2_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-9092-2_30

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9903-1

  • Online ISBN: 978-3-0348-9092-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics