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Yosida, Kôsaku

An abstract analyticity in time for solutions of a diffusion equation. (English) Zbl 0091.27202

Proc. Japan Acad. 35, 109-113 (1959).
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Cited in 11 Documents

Keywords:

partial differential equations
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References:

[1] E. Hille and R. S. Phillips: Functional Analysis and Semi-groups, New York (1958). · Zbl 0078.10004
[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). · Zbl 0088.30403 · doi:10.2969/jmsj/01030314
[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). · Zbl 0087.09303
[4] K. Yosida: An operator-theoretical integration of wave equations, J. Math. Soc. Japan, 8, no. 1, 79-92 (1956). · Zbl 0071.09202 · doi:10.2969/jmsj/00810079
[5] K. Yosida: On Semi-group Theory and Its Application to Cauchy’s Problem in Partial Differential Equations, Bombay (1957). · Zbl 0079.33001
[6] K. Yosida: On the differentiability of semi-groups of linear operators, Proc. Japan Acad., 34, 337-340 (1958). · Zbl 0083.11003 · doi:10.3792/pja/1195524633
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