C-wellposedness of the complete second order abstract Cauchy problem and applications

Authors
Gao, MC
Citation
Mc. Gao, C-wellposedness of the complete second order abstract Cauchy problem and applications, ACTA MATH S, 15(4), 1999, pp. 535-548
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574 → ACNP
Volume
15
Issue
4
Year of publication
1999
Pages
535 - 548
Database
ISI
SICI code
1000-9574(199910)15:4<535:COTCSO>2.0.ZU;2-W
Abstract
In this paper, we first give a sufficient and necessary condition for M = ( A(1)/A(0) I/0) to generate an exponentially bounded (C) over tilde = (C/0 0 /C)-semigroup and discuss its relations to the C-wellposedness of the compl ete second order abstract Cauchy problem ((ACP(2)) for short) in some sense . Then we use these results and those in [1] to discuss the C-(exponential) wellposedness of a kind of (ACP(2)) with application backgrounds, and deve lop the results in [2].