Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem
Banach Center Publications (1996)
- Volume: 37, Issue: 1, page 151-157
- ISSN: 0137-6934
Access Full Article
top
Abstract
topHow to cite
topMelnikova, Irina. "Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem." Banach Center Publications 37.1 (1996): 151-157. <http://eudml.org/doc/208592>.
@article{Melnikova1996,
abstract = {The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.},
author = {Melnikova, Irina},
journal = {Banach Center Publications},
keywords = {degenerate Cauchy problem; abstract analytical function; Hilbert identity},
language = {eng},
number = {1},
pages = {151-157},
title = {Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem},
url = {http://eudml.org/doc/208592},
volume = {37},
year = {1996},
}
TY - JOUR
AU - Melnikova, Irina
TI - Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem
JO - Banach Center Publications
PY - 1996
VL - 37
IS - 1
SP - 151
EP - 157
AB - The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.
LA - eng
KW - degenerate Cauchy problem; abstract analytical function; Hilbert identity
UR - http://eudml.org/doc/208592
ER -
References
top- [1] K. Yosida, Functional Analysis, Springer-Verlag, Berlin and New York, 1980.
- [2] W. Arendt, Vector valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 59 pp.
- [3] S. G. Krein, Linear differential equations in a Banach space, Amer. Math. Soc., Providence, R.I., 1972.
- [4] V. K. Ivanov, I. V. Melnikova, and A. I. Filinkov, Differential-operator equations and ill-posed problems, Nauka, Moscow, 1994 [in Russian].
- [5] N. Tanaka and I. Miyadera, Exponentially bounded C-semigroups and integrated semigroups, Tokyo J. Math. 12, no. 1 (1989), 99-115. Zbl0702.47028
- [6] I. V. Melnikova and M.A. Alshansky, Well-posedness of the Cauchy problem in a Banach space: regular and degenerate cases, J. Math. Sci., Plenum, 1994, to appear.
- [7] E. B. Davies and M. M. Pang, The Cauchy problem and a generalizations of the Hille-Yosida theorem, Proc. London Math. Soc. 55 (1987), 181-208. Zbl0651.47026
- [8] I. V. Melnikova and S.V. Bochkareva, C-semigroups and regularization of an ill-posed Cauchy problem, Russia Acad. Sci. Docl. Math. 47, no. 2 (1993), 228-232.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.