Skip to main content
SpringerLink
Log in

Second-order fuchsian elliptic equations and eigenvalue asymptotics

  • Conference paper
  • First Online:
Book cover Fourier Integral Operators and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 459))

Research supported in part under NSF Grant 27671

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
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.

Bibliographical references

  1. Alinhac, S.—Problème de Cauchy pour des opérateurs singuliers, to appear.

    Google Scholar 

  2. Baouendi, S. M. & Goulaouic, Ch.—Regularité et théorie spectrale pour une classe d’opérateurs elliptiques et dégénérés, Arch. Rat. Nec. Anal. 34, no 5 (1969), 361–379.

    Article  MathSciNet  MATH  Google Scholar 

  3. Baouendi, S. M. & Goulaouic, Ch.—Cauchy problems with characteristic initial hypersurface, Comm. Pure Applied Math.

    Google Scholar 

  4. Bolley, P. & Camus, J.—Sur une classe d’opérateurs elliptiques et dégénérés à une variable, J. Math. pures et appl., 51 (1972), 429–463.

    MathSciNet  MATH  Google Scholar 

  5. Bolley, P. & Camus, J.—Sur une classe d’opérateurs elliptiques et dégénérés à plusieurs variables, Bull. Soc. math. France, Memoir 34 (1973) 55–140.

    MathSciNet  MATH  Google Scholar 

  6. Boutet de Monvel, L. & Treves, F.—On a class of pseudodifferential operators with double characteristics, Inventiones math. 24 (1974), 1–34.

    Article  MathSciNet  MATH  Google Scholar 

  7. Duistermaat, J. J.—Fourier Integral Operators, lecture notes, Courant Institute Math. Sciences, N. Y. U. (1973)

    MATH  Google Scholar 

  8. Gilioli, A. & Treves, F.—An example in the solvability theory of linear PDEs, to appear in Amer. J. of Math.

    Google Scholar 

  9. Grushin, V. V.—On a class of hypoelliptic pseudodifferential operators degenerate on a submanifold, Mat. Sbornik 84 (126) (1971) 111–134 (Math. USSR Sbornik 13 (1971), 155–185).

    Google Scholar 

  10. Hörmander, L.—Fourier Integral Operators I, Acta Math. 127 (1971), 79–183.

    Article  MathSciNet  MATH  Google Scholar 

  11. Kohn, J. J. & Nirenberg, L.—Degenerate elliptic-parabolic equations of second order, Comm. Fure Applied Math. XX (1967), 797–872.

    Article  MathSciNet  MATH  Google Scholar 

  12. Maslov, V. P.—Théorie des perturbations et méthodes asymptotiques (French transl.) Dunod & Gauthier-Villars, Paris (1972).

    MATH  Google Scholar 

  13. Rocklani, Ch.—Hypoellipticity and eigenvalue asymptotics, to appear.

    Google Scholar 

  14. Tosques, M.—Analytic-hypoellipticity of certain second-order evolution with double characteristics, to appear in Trans. Amer. Math. Soc.

    Google Scholar 

  15. Trèves, F.—ulConcatenations of Second-Order Evolution Equations applied to local solvability and hypoellipticity, Comm. Pure Applied Math. XXVI (1973), 201–250.

    Article  MATH  Google Scholar 

  16. Trèves, F.—A new method of proof of the subelliptic estimates, Comm. Pure Applied Math. XXIV (1971), 71–115.

    Article  MathSciNet  MATH  Google Scholar 

  17. Trèves, F.—Basic linear partial differential equations, to appear Academic Press New York 1975.

    Google Scholar 

Download references

Authors
  1. François Trèves
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Jacques Chazarain

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Trèves, F. (1975). Second-order fuchsian elliptic equations and eigenvalue asymptotics. In: Chazarain, J. (eds) Fourier Integral Operators and Partial Differential Equations. Lecture Notes in Mathematics, vol 459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074199

Download citation

  • DOI: https://doi.org/10.1007/BFb0074199

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07180-8

  • Online ISBN: 978-3-540-37521-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation