Keywords
- Holomorphic Function
- Fundamental Solution
- Half Plane
- Distribution Solution
- Complex Banach Space
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Barbu, V., Differentiable distribution semi-groups, Ann. Scuola Norm. Sup. Pisa, 23 (1969), 413–429.
Chazarain, J., Problème de Cauchy et applications à quelques problèmes mixtes, J. Functional Analysis, 7 (1971), 386–446.
Da Prato, G. and U. Mosco, Semigruppi distribuzioni analitici, Ann. Scuola Norm. Sup. Pisa, 19 (1965), 367–396.
Fujiwara, D., A characterization of exponential distribution semigroups, J. Math. Soc. Japan, 18 (1966), 267–274.
Komatsu, H., Relative cohomology of sheaves of solutions of differential equations, Séminaire Lions-Schwartz, 1966–67.
Lions, J. L., Les semi-groupes distributions, Portugal Math., 19 (1960), 141–164.
Ōuchi, S., Hyperfunction solutions of the abstract Cauchy problem, Proc. Japan Acad., 47 (1971), 541–544.
Sato, M., Theory of hyperfunctions I, J. Fac. Sci. Univ. Tokyo, Sec. I, 8 (1959), 139–193.
Sato, M., Theory of hyperfunctions II,, 8 (1960), 387–437.
Schapira, P., Théorie des Hyperfonctions, Lecture Notes in Math., 126, Springer, 1970.
Ushijima, T., Some properties of regular distribution semi-groups, Proc. Japan Acad., 45 (1969), 224–227.
Ushijima, T., On the abstract Cauchy problems and semi-groups of operators of linear operators in locally convex spaces, Sci. Papers College Gen. Ed., Univ. Tokyo, 21 (1971), 93–122.
Ushijima, T., On the generation and smoothness of semi-groups of linear operators, J. Fac. Sci. Univ. Tokyo, Sec. IA, 19 (1972), 65–127.
Yoshinaga, K., Ultra-distributions and semi-group distributions, Bull. Kyushu Inst. Tech., 10 (1963), 1–24.
Yoshinaga, K., Values of vector-valued distributions and smoothness of semi-groups distributions, Bull. Kyushu Inst. Tech., 12 (1965), 1–27.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1973 Springer-Verlag
About this paper
Cite this paper
Ōuchi, S. (1973). On abstract cauchy problems in the sense of hyperfunction. In: Komatsu, H. (eds) Hyperfunctions and Pseudo-Differential Equations. Lecture Notes in Mathematics, vol 287. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068149
Download citation
DOI: https://doi.org/10.1007/BFb0068149
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06218-9
Online ISBN: 978-3-540-38506-6
eBook Packages: Springer Book Archive
