Citation
Dh. Shi et Dx. Feng, Characteristic conditions of the generation of C-0 semigroups in a Hilbertspace, J MATH ANAL, 247(2), 2000, pp. 356-376
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X
→ ACNP
Volume
247
Issue
2
Year of publication
2000
Pages
356 - 376
Database
ISI
SICI code
0022-247X(20000715)247:2<356:CCOTGO>2.0.ZU;2-V
Abstract
In this paper new characteristic conditions, in terms of A and the first or
der resolvent of A and A*, which assure that A generates a C-0 semigroup in
a Hilbert space are proposed and proved. The conditions can be used to inv
estigate the well-posedness problem of non-dissipative systems. An example
is also given to show how to use them. (C) 2000 Academic Press.