Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems, II
Journal Article
·
· Applied Mathematics and Optimization
- Dipartimento di Matematica 'L. Tonelli', Universita di Pisa, via Filippo Buonarroti 2, I-56127 Pisa (Italy)
- Dipartimento di Scienza dei Materiali, Universita Statale di Milano, via Emanueli 15, I-20126 Milano (Italy)
An abstract linear-quadratic regulator problem over finite time horizon is considered; it covers a large class of linear nonautonomous parabolic systems 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 regular.
- OSTI ID:
- 21067530
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 41; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems
Boundary value problems for strongly degenerate parabolic equations
L{sub p}-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems
Journal Article
·
Sat May 15 00:00:00 EDT 1999
· Applied Mathematics and Optimization
·
OSTI ID:21067549
Boundary value problems for strongly degenerate parabolic equations
Journal Article
·
Fri Oct 31 23:00:00 EST 1997
· Communications in Partial Differential Equations
·
OSTI ID:535393
L{sub p}-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems
Journal Article
·
Tue Feb 28 23:00:00 EST 1995
· Journal of Mathematical Sciences
·
OSTI ID:105433