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

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

Keywords

  • Vector Field
  • Fundamental Solution
  • Precise Estimate
  • Heat Kernel
  • Real Hilbert Space

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References

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

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  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.

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

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

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

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© 1986 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16773-0

  • Online ISBN: 978-3-540-39852-3

  • eBook Packages: Springer Book Archive