Proceedings of the Japan Academy

An abstract analyticity in time for solutions of a diffusion equation

KôSaku Yosida

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 35, Number 3 (1959), 109-113.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195524397

Digital Object Identifier
doi:10.3792/pja/1195524397

Mathematical Reviews number (MathSciNet)
MR0105559

Zentralblatt MATH identifier
0091.27202

Citation

Yosida, KôSaku. An abstract analyticity in time for solutions of a diffusion equation. Proc. Japan Acad. 35 (1959), no. 3, 109--113. doi:10.3792/pja/1195524397. https://projecteuclid.org/euclid.pja/1195524397


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References

  • [1] E. Hille and R. S. Phillips: Functional Analysis and Semi-groups, New York (1958).
  • [2] S. Ito and H. Yamabe: A unique continuation theorem for solutions of a parabolic equations, J. Math. Soc. Japan, 10, no. 3, 314-321 (1958).
  • [3] S. Mizohata: Unicite du prolongement des solutions pour quelques operateurs differentiels paraboliques, Mem. Colleg. Sci. Univ. Kyoto, sect. A, 31, no. 3, 219-239 (1958).
  • [4] K. Yosida: An operator-theoretical integration of wave equations, J. Math. Soc. Japan, 8, no. 1, 79-92 (1956).
  • [5] K. Yosida: On Semi-group Theory and Its Application to Cauchy's Problem in Partial Differential Equations, Bombay (1957).
  • [6] K. Yosida: On the differentiability of semi-groups of linear operators, Proc. Japan Acad., 34, 337-340 (1958).