Skip to main content
Log in

On the existence of real analytic solutions of partial differential equations with constant coefficients

  • 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. Andersson, K. G.: Propagation of analyticity of solutions of partial differential equations with constant coefficients. Ark. Mat.8, 277–302 (1971)

    Google Scholar 

  2. Andersson, K. G.: Global solvability of, partial differential equations in the space of real analytic functions. Coll. on Analysis, Rio de Janeiro August 1972

  3. De Giorgi, E.: Solutions analytiques des équations aux derivées partielles à coefficients constants. Séminaire Goulaouic-Schwartz 1971/72, Exposé 29

  4. De Giorgi, E., Cattabriga, L.: Una dimostrazione diretta dell'esistenza di soluzioni analytiche nel piano reale di equazioni a derivate parziali a coefficienti constanti. Bull. Un. Mat. Ital.4, 1015–1027 (1971)

    Google Scholar 

  5. Ehrenpreis, L.: Fourier analysis in several complex variables. New York: John Wiley and Sons 1970

    Google Scholar 

  6. Hörmander, L.: An introduction to complex analysis in several variables. Princeton, N.J.: D. van Nostrand Publ. Co. 1966

    Google Scholar 

  7. Hörmander, L.: Supports and singular supports of convolutions. Acta Math.110, 279–302 (1963)

    Google Scholar 

  8. Hörmander, L.: Linear partial differential operators. Berlin-Göttingen-Heidelberg: Springer 1963

    Google Scholar 

  9. Kawai, T.: On the global existence of real analytic solutions of linear differential equations I. To appear in J. Math. Soc. Japan

  10. Malgrange, B.: Existence et approximation des solutions des équations aux derivées partielles et des équations de convolution. Ann. Inst. Fourier Grenoble6, 271–355 (1955–56)

    Google Scholar 

  11. Narasimhan, R.: Introduction to the theory of analytic spaces. Springer lecture notes in Mathematics 25. Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  12. Piccinini, L.C.: Non surjectivity of ∂2/∂x 2 + ∂2/∂y 2 as an operator on the space of analytic functions on ℝ3. Lecture notes of Summer College on Global Analysis, Trieste 1972

  13. Piccinini, L.C.: Non surjectivity of the Cauchy-Riemann operator on the space of the analytic functions on ℝn. Generalization to the parabolic operators. Boll. Un. Mat. Ital.7, 12–28 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hörmander, L. On the existence of real analytic solutions of partial differential equations with constant coefficients. Invent Math 21, 151–182 (1973). https://doi.org/10.1007/BF01390194

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01390194

Keywords

Navigation