Skip to main content
Log in

A global construction for pseudo-differential operators with non-involutive characteristics

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Duistermaat, J.J., Hörmander, L.: Fourier integral operators II. Acta Math.128, 183–269 (1972).

    Google Scholar 

  2. Egorov, Yu.V., Kondratev, V.A.: The oblique derivative problem. Math. Sborn.78 (120), 148–176 (1969). Also: Math. USSR Sb.7, 139–169 (1969).

    Google Scholar 

  3. Hörmander, L.: Linear Partial Differential Operators. Berlin-Göttingen-New York: Springer 1963.

    Google Scholar 

  4. Hörmander, L.: Pseudo-differential operators and non-elliptic boundary problems. Ann. Math.83, 129–209 (1966).

    Google Scholar 

  5. Hörmander, L.: Fourier integral operators I. Acta Math.127, 79–183 (1971).

    Google Scholar 

  6. Hörmander, L.: On the existence and regularity of solutions of linear pseudo-differential operators. l' Ens. Math.17, 99–163 (1971).

    Google Scholar 

  7. Kawai, T.: Construction of local elementary solutions for linear partial differential operators with real analytic coefficients II: The case with complex principal symbols. Publ. R.I.M.S. Kyoto Univ.7, 399–426 (1971). Summary in Proc. Japan Acad.47, 147–152 (1971).

    Google Scholar 

  8. Nirenberg, L.: Lectures on Linear Partial Differential Equations, Proc. of Regional Conference at Texas Tech., May 1972, Conference Board of the Math. Sciences of the Am. Math. Soc. (to appear).

  9. Sato, M., Kawai, T., Kashiwara, M.: On pseudo-differential equations in hyperfunction theory. Proc. AMS Summer Institute on Partial Differential Equations. Berkeley, 1971.

  10. Sjöstrand, J.: Operators of principal type with interior boundary conditions. Acta Math.130, 1–51 (1973).

    Google Scholar 

  11. Sjöstrand, J.: A class of pseudo-differential operators with multiple characteristics. C. R. Acad. Sc. Paris275, Série A, 817–819 (1972).

    Google Scholar 

  12. Treves, F.: A new method of proof of the subelliptic estimates. Comm. Pure Appl. Math.24, 71–115 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by NSF GP 369 92X at the Courant Institute of Mathematical Sciences, New York.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duistermaat, J.J., Sjöstrand, J. A global construction for pseudo-differential operators with non-involutive characteristics. Invent Math 20, 209–225 (1973). https://doi.org/10.1007/BF01394095

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01394095

Keywords

Navigation