Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems, II

Authors
Acquistapace, P Terreni, B
Citation
P. Acquistapace et B. Terreni, Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems, II, APPL MATH O, 41(2), 2000, pp. 199-226
Citations number
30
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS AND OPTIMIZATION
ISSN journal
00954616 → ACNP
Volume
41
Issue
2
Year of publication
2000
Pages
199 - 226
Database
ISI
SICI code
0095-4616(200003/04)41:2<199:CSONRE>2.0.ZU;2-Y
Abstract
An abstract linear-quadratic regulator problem over finite time horizon is considered; it covers a large class of linear nonautonomous parabolic syste ms in bounded domains, with boundary control of Dirichlet or Neumann type. We give the proof of some result stated in [AT5], and in addition we prove uniqueness of the Riccati operator, provided its final datum is suitably re gular.