References
Balakrishnan, A. V.: Fractional powers of closed operators and the semigroups generated by them. Pacific Jour. Math.10, 419–439 (1960).
Chazarain, J.: Problèmes de Cauchy au sens des distributions vectorielles et applications. C. R. Acad. Sci. Paris266, 10–13 (1968).
Dunford, N., Schwartz, J. T.: Linear operators, part I. New York: Interscience 1957.
Fattorini, H. O., Radnitz, A.: The Cauchy problem with incomplete initial data in Banach spaces. Michigan Math. Jour.18, 291–320 (1971).
Krein, S. G.: Linear differential equations in Banach spaces (Russian). Moscow: Goztekhizdat 1967.
Prokopenko, L. N.: On uniqueness of solutions of the Cauchy problem for operational differential equations, Dokl. Akad. Nauk. SSSR148, 1030–1033 (1963).
Radnitz, A.: The incomplete Cauchy problem in Banach spaces. Ph. D. dissertation at the University of California, Los Angeles, 1970.
Author information
Authors and Affiliations
Additional information
This research was supported in part by the National Science Foundation under contract GP-9658.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01435450