Skip to main content
SpringerLink
Log in

Precise estimates for the fundamental solutions to some degenerate elliptic differential equations

  • Conference paper
  • First Online:
Stochastic Processes and Their Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1203))

  • 660 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. Jerison, D., and A. Sanchez-Calle, Estimates for the heat kernel for a sum of squares of vector fields, Preprint.

    Google Scholar 

  2. Kusuoka, S., and D. Stroock, Applications of Malliavin calculus I, Stochastic Analysis, Proc. Taniguchi Internatl. Symp. Katata and Kyoto, 1982, ed. by K. Ito, pp. 271–306, Kinokuniya, Tokyo.

    Google Scholar 

  3. Kusuoka, S., and D. Stroock, Applications of Malliavin calculus II, J. Fac. Sci. Univ. Tokyo Sc. IA, 32(1985), 1–76.

    MathSciNet  MATH  Google Scholar 

  4. Rothschild, L.P., and E.M. Stein, Hypoelliptic differential operators and nilpotent Lie groups, Acta Math. 137(1977), 247–320.

    Article  MathSciNet  MATH  Google Scholar 

  5. Sanchez-Calle, A., Fundamental solution and geometry of the sum of squares of vector field, Invent. Math. 78(1984), 143–160.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics Faculty of Science, University of Tokyo, Hongo, Tokyo, Japan

    Shigeo Kusuoka

Authors
  1. Shigeo Kusuoka
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Kiyosi Itô Takeyuki Hida

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Kusuoka, S. (1986). Precise estimates for the fundamental solutions to some degenerate elliptic differential equations. In: Itô, K., Hida, T. (eds) Stochastic Processes and Their Applications. Lecture Notes in Mathematics, vol 1203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076878

Download citation

  • DOI: https://doi.org/10.1007/BFb0076878

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16773-0

  • Online ISBN: 978-3-540-39852-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation