Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/10071
Title: | Complex powers of nondensely defined operators | Authors: | Kostić, Marko | Issue Date: | 1-Dec-2011 | Journal: | Publications de l'Institut Mathematique | Abstract: | The power (-A) b, b ∈ C is defined for a closed linear operator A whose resolvent is polynomially bounded on the region which is, in general, strictly contained in an acute angle. It is proved that all structural properties of complex powers of densely defined operators with polynomially bounded resolvent remain true in the newly arisen situation. The fractional powers are considered as generators of analytic semigroups of growth order r > 0 and applied in the study of corresponding incomplete abstract Cauchy problems. In the last section, the constructed powers are incorporated in the analysis of the existence and growth of mild solutions of operators generating fractionally integrated semigroups and cosine functions. | URI: | https://open.uns.ac.rs/handle/123456789/10071 | ISSN: | 03501302 | DOI: | 10.2298/PIM1104047K |
Appears in Collections: | FTN Publikacije/Publications |
Show full item record
SCOPUSTM
Citations
5
checked on Sep 9, 2023
Page view(s)
9
Last Week
8
8
Last month
0
0
checked on May 10, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.