Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems
type: Item
instance of: scholarly article
title: Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems
zbMATH Open document ID: 0926.49019
published in: Applied Mathematics and Optimization
publication date: 1999-07-20T00:00:00Z
review text: The paper considers an abstract linear-quadratic regulator problem associated with linear parabolic systems in a bounded domain \(\Omega \subset R^n\) with boundary controls of Dirichlet or Neumann type. The solvability of the corresponding differential Riccati equation is obtained and a formal representation of the solution of this equation is given, which allows to obtain regularity results for boundary controls from \(L_2(\partial \Omega\times (0,T))\).
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49N60
zbMATH DE Number: 1289883
zbMATH Keywords: optimal control
zbMATH Keywords: linear-quadratic regulator problem
zbMATH Keywords: linear parabolic systems
zbMATH Keywords: boundary controls
zbMATH Keywords: Riccati equation
zbMATH Keywords: regularity
author: Paolo Acquistapace
author: Brunello Terreni
reviewed by: Uldis Raitums
MaRDI profile type: Publication
full work available at URL: s002459900111
OpenAlex ID: W2077640291
DOI: 10.1007/S002459900111
description: scientific article; zbMATH DE number 1289883