Published August 2005
| Version v1
Journal article
The Controllability of the Gurtin-Pipkin Equation: A Cosine Operator Approach
Creators
- 1. Politecnico di Torino, Dipartimento di Matematica, Corso Duca degli Abruzzi24, 10129 Torino (Italy)
Description
In this paper we give a semigroup-based definition of the solution of the Gurtin-Pipkin equation with Dirichlet boundary conditions. It turns out that the dominant term of the input-to-state map is the control to displacement operator of the wave equation. This operator is surjective if the time interval is long enough. We use this observation in order to prove exact controllability in finite time of the Gurtin-Pipkin equation
Additional details
Identifiers
Publishing Information
- Journal Title
- Applied Mathematics and Optimization
- Journal Volume
- 52
- Journal Issue
- 2
- Journal Page Range
- p. 143-165
- ISSN
- 0095-4616
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39081506
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; CONTROL THEORY; MAPS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; WAVE EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2005 Springer
- Notes
- www.springer-ny.com