𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Pontryagin's principle for the control of parabolic equations with gradient state constraints

✍ Scribed by E. Casas; M. Mateos; J.-P. Raymond


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
195 KB
Volume
46
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Pontryagin's maximum principle of optima
✍ Gengsheng Wang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 171 KB

This paper concerns about necessary conditions for optimal control problems governed by some semilinear parabolic di erential equations, which may be non-well posed. The two-point boundary (time variable) state constraint involves. The control set may be non-convex.

Insensitizing controls for a nonlinear p
✍ Youjun Xu; Xinguang Zhang; Dongyuan Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 600 KB

In this paper, we consider the existence of insensitizing control for a semilinear heat equation involving gradient terms in unbounded domain Ω. In this case, we prove the existence of controls insensitizing the L 2 -norm of the observation of the solution in an open subset of the domain. The proofs

Insensitizing controls for a heat equati
✍ O. Bodart; M. GonzΓ‘lez-Burgos; R. PΓ©rez-Garcı́a πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 366 KB

In this paper we present two results on the existence of insensitizing controls for a heat equation in a bounded domain of R N . We ΓΏrst consider a semilinear heat equation involving gradient terms with homogeneous Dirichlet boundary conditions. Then a heat equation with a nonlinear term F(y) and li