Skip to main content
Log in

The underdetermined Cauchy problem in Banach spaces

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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.

References

  1. Balakrishnan, A. V.: Fractional powers of closed operators and the semigroups generated by them. Pacific Jour. Math.10, 419–439 (1960).

    Google Scholar 

  2. Chazarain, J.: Problèmes de Cauchy au sens des distributions vectorielles et applications. C. R. Acad. Sci. Paris266, 10–13 (1968).

    Google Scholar 

  3. Dunford, N., Schwartz, J. T.: Linear operators, part I. New York: Interscience 1957.

    Google Scholar 

  4. Fattorini, H. O., Radnitz, A.: The Cauchy problem with incomplete initial data in Banach spaces. Michigan Math. Jour.18, 291–320 (1971).

    Google Scholar 

  5. Krein, S. G.: Linear differential equations in Banach spaces (Russian). Moscow: Goztekhizdat 1967.

    Google Scholar 

  6. Prokopenko, L. N.: On uniqueness of solutions of the Cauchy problem for operational differential equations, Dokl. Akad. Nauk. SSSR148, 1030–1033 (1963).

    Google Scholar 

  7. Radnitz, A.: The incomplete Cauchy problem in Banach spaces. Ph. D. dissertation at the University of California, Los Angeles, 1970.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported in part by the National Science Foundation under contract GP-9658.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fattorini, H.O. The underdetermined Cauchy problem in Banach spaces. Math. Ann. 200, 103–112 (1973). https://doi.org/10.1007/BF01435450

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01435450

Keywords

Navigation