Besov spaces and analytic semigroups of linear operators

Tosinobu MURAMATU

doi:10.2969/jmsj/04210133

Tosinobu MURAMATU

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JOURNAL FREE ACCESS

1990 Volume 42 Issue 1 Pages 133-146

DOI https://doi.org/10.2969/jmsj/04210133

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Published: 1990 Received: December 19, 1988 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Hiroshi Fujita on his 60th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. B. Baillon, Caractere borne de certains generateurs de lineares dans les espaces de Banach, C. R. Acad. Sci. Paris, 290 (1980), 757-760.
2) M. G. Crandall and A. Pazy, On the differentiability of weak solutions of a differential equation in Banach spaces, J. Math. Mech., 18 (1969), 1007-1016.
3) T. Muramatu, On Besov spaces of functions defined in general regions, Publ. R. I. M. S. Kyoto Univ., 6 (1970/1971), 515-543.
4) T. Muramatu, Besov spaces and Sobolev spaces of generalized functions defined on a general region, Publ. R. I. M. S. Kyoto Univ., 9 (1974), 325-396.
5) T. Muramatu, Interpolation Spaces and Linear Operators, Kinokuniya-Shoten, Tokyo, 1985, (in Japanese).
6) A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer, 1983.
7) M. Shimada, Existence of strong solutions of parabollic equations in a Banach space, in preparation.
8) K. Yosida, Functional Analysis, Springer, 1965.

Right : [1] J. B. Baillon, Caractere borne de certains generateurs de lineares dans les espaces de Banach, C. R. Acad. Sci. Paris, 290 (1980), 757-760.
[2] M. G. Crandall and A. Pazy, On the differentiability of weak solutions of a differential equation in Banach spaces, J. Math. Mech., 18 (1969), 1007-1016.
[3] T. Muramatu, On Besov spaces of functions defined in general regions, Publ. R. I. M. S. Kyoto Univ., 6 (1970/1971), 515-543.
[4] T. Muramatu, Besov spaces and Sobolev spaces of generalized functions defined on a general region, Publ. R. I. M. S. Kyoto Univ., 9 (1974), 325-396.
[5] T. Muramatu, Interpolation Spaces and Linear Operators, Kinokuniya-Shoten, Tokyo, 1985, (in Japanese).
[6] A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer, 1983.
[7] M. Shimada, Existence of strong solutions of parabollic equations in a Banach space, in preparation.
[8] K. Yosida, Functional Analysis, Springer, 1965.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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